M 1.5 p4.s
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A die is tossed and reported as a six. The chance the report is truthful is calculated using Bayes' theorem. The probability the die actually landed on six, given the report, is 1/6, as the report has a 1/6 chance of being truthful for each possible outcome of the die toss.
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Bursae are sacs of synovial fluid that act as cushions to protect soft tissues like tendons, ligaments, and muscles from friction and pressure. There are several bursae around the hip, knee, and foot that can become inflamed and cause pain. Around the hip, important bursae include the greater trochanteric, iliopsoas, and ischial tuberosity bursae. Around the knee, the suprapatellar, popliteal, anserine, and gastrocnemius bursae communicate with the knee joint. Bursae in the foot that commonly cause issues include the metatarsal, metatarsophalangeal, andM 1.5 rm
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1. Bayes' theorem is used to calculate unknown probabilities based on additional information provided by experiments or past records. It involves calculating inverse or posterior probabilities.
2. The theorem states that the probability of an event occurring given some evidence is equal to the probability of the evidence given the event occurred, multiplied by the original probability of the event, divided by the total probability of the evidence.
3. Bayes' theorem is widely used in business and engineering to help decision makers account for uncertainty in their analyses and decisions. It allows probabilities to be updated as new information becomes available.M 1.5 p4.q
M 1.5 p4.qRamakrishna Paduchuri
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A die is tossed and reported to have landed on six. The chance that it actually landed on six is 1/6, as there is a 1 in 6 chance of any single number being rolled on a standard six-sided die.M 1.5 p3.s
M 1.5 p3.sRamakrishna Paduchuri
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An urn contains 4 balls that are drawn randomly. Two balls drawn were found to be white. The probability that all balls are white is calculated using Bayes' rule. Let W be the event that all balls are white and D be the event that two white balls were drawn. Bayes' rule is used to calculate P(W|D) = P(D|W)P(W) / P(D).M 1.5 p3.q
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The probability that all the balls are white given that two balls drawn were white depends on the total number of balls and the number of white balls drawn. With an urn containing 4 balls total and 2 white balls drawn randomly, there is a 1/6 probability that all the balls are white.M 1.5 p2.s
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A class has students who are very intelligent, medium, or below average. The probabilities of failing a viva voce exam are 0.1, 0.3, and 0.5 respectively for each group. Using Bayes' rule, the probability a student who passed the exam is below average can be calculated by dividing the probability of being below average and passing by the total probability of passing.M 1.5 p2.q
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In a class, 20% of students were very intelligent, 60% were medium, and 20% were below average. The probability of a very intelligent student failing their viva voce exam is 0.1, a medium student failing is 0.3, and a below average student failing is 0.6. If a student passed the exam, the probability they are below average is 0.2/0.7 = 20/70 = 1/3.M 1.5 p1.s
M 1.5 p1.sRamakrishna Paduchuri
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Plant I manufactures p% of scooters and Plant II manufactures q% of scooters. p% of scooters from Plant I meet the standard quality, and q% of scooters from Plant II meet the standard quality. To calculate the probability that a standard quality scooter came from Plant I, use Bayes' rule and the given probabilities to get p/(p+q). Similarly, the probability that a standard quality scooter came from Plant II is q/(p+q).M 1.5 p1.q
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A company has two plants that manufacture scooters. Plant I produces 50% of scooters and Plant II produces the other 50%. Plant I produces 70% standard quality or better scooters, while Plant II only produces 30% standard quality or better. If a scooter is known to be standard quality, there is a 70% chance it came from Plant I and a 30% chance it came from Plant II.M 1.4 rm
M 1.4 rmRamakrishna Paduchuri
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This document discusses theorems in probability and their proofs. It begins by stating that theorems help evaluate probabilities of compound events simply. Several probability theorems and their proofs are then presented, including:
1) The probability of an impossible event is zero.
2) The probability of a complementary event A' is 1 - P(A).
3) For any two events A and B, P(A or B) = P(A) + P(B) - P(A and B).
4) If A and B are independent, P(A and B) = P(A)P(B).
Examples are provided to demonstrate applying the theorems to probability problems involving events described usingM 1.4 ap1
M 1.4 ap1Ramakrishna Paduchuri
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This document contains 15 probability exercises involving events such as drawing cards from a deck, outcomes of experiments, tickets in an urn, applications to jobs, components of equipment, throws of a die, and groups of children. The exercises cover concepts like mutually exclusive and independent events, and calculating probabilities using given individual probabilities or odds.M 1.3 rm
M 1.3 rmRamakrishna Paduchuri
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There are four main definitions of probability:
1. Mathematical (or classical) definition which assumes outcomes are equally likely and calculates probability as number of favorable outcomes over total outcomes. It breaks down if outcomes are not equally likely or the sample space is infinite.
2. Statistical (or empirical) definition which calculates probability as the limiting ratio of number of times an event occurs over number of trials as trials approach infinity. It may not have a unique limit.
3. Subjective definition where probabilities are assigned based on experience and belief and can vary between people.
4. Axiomatic definition which defines probability as a measure satisfying three axioms: non-negativity, normality, and countable additivityM 1.1 rm
M 1.1 rmRamakrishna Paduchuri
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1. The document discusses concepts from probability including sets, elements, unions, intersections, complements, permutations, combinations, and distributions. It provides examples and formulas for calculating things like the number of possible outcomes of events.
2. Key concepts covered include defining sets and their operations, the difference between permutations and combinations, and formulas for counting the number of ways to arrange or select objects with or without repetition.
3. Examples show how to use formulas to calculate things like the number of possible hands that could be dealt from a deck of cards or words that can be formed from letters in a given word.M 1.3 ap1
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1. The document defines probability and provides examples of calculating probabilities for events like throwing dice, drawing balls from bags, and random arrangements of letters or numbers. It includes 29 practice problems calculating probabilities for scenarios involving dice, cards, balls in bags, randomly selecting numbers, and randomly arranging letters.
2. The types of probabilities discussed include finding the likelihood of sums when dice are rolled, selecting particular numbers or meeting certain criteria when balls are drawn or numbers are chosen, and getting specific arrangements of letters or numbers when they are randomly ordered.
3. Answers to each probability question are not provided, as the purpose of the document appears to be providing probability practice problems rather than solutions.Ma2002 1.23 rm
Ma2002 1.23 rmRamakrishna Paduchuri
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1. The document discusses the convergence and stability of finite difference methods for solving ordinary and partial differential equations numerically.
2. It shows that the error of the finite difference solution converges to zero as the grid size decreases, establishing convergence of the method.
3. It analyzes the stability of explicit finite difference schemes for a test differential equation. The type of difference approximation used for the first derivative term depends on the sign of a constant, in order to satisfy the stability condition for the scheme.Ad
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M 1.5 rm
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1. Bayes' theorem is used to calculate unknown probabilities based on additional information provided by experiments or past records. It involves calculating inverse or posterior probabilities.
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A die is tossed and reported to have landed on six. The chance that it actually landed on six is 1/6, as there is a 1 in 6 chance of any single number being rolled on a standard six-sided die.M 1.5 p3.s
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A class has students who are very intelligent, medium, or below average. The probabilities of failing a viva voce exam are 0.1, 0.3, and 0.5 respectively for each group. Using Bayes' rule, the probability a student who passed the exam is below average can be calculated by dividing the probability of being below average and passing by the total probability of passing.M 1.5 p2.q
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A company has two plants that manufacture scooters. Plant I produces 50% of scooters and Plant II produces the other 50%. Plant I produces 70% standard quality or better scooters, while Plant II only produces 30% standard quality or better. If a scooter is known to be standard quality, there is a 70% chance it came from Plant I and a 30% chance it came from Plant II.M 1.4 rm
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This document discusses theorems in probability and their proofs. It begins by stating that theorems help evaluate probabilities of compound events simply. Several probability theorems and their proofs are then presented, including:
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3) For any two events A and B, P(A or B) = P(A) + P(B) - P(A and B).
4) If A and B are independent, P(A and B) = P(A)P(B).
Examples are provided to demonstrate applying the theorems to probability problems involving events described usingM 1.4 ap1
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There are four main definitions of probability:
1. Mathematical (or classical) definition which assumes outcomes are equally likely and calculates probability as number of favorable outcomes over total outcomes. It breaks down if outcomes are not equally likely or the sample space is infinite.
2. Statistical (or empirical) definition which calculates probability as the limiting ratio of number of times an event occurs over number of trials as trials approach infinity. It may not have a unique limit.
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For queries or feedback: ishikaghosh9@gmail.comHow to Add Customer Note in Odoo 18 POS - Odoo 際際滷s
How to Add Customer Note in Odoo 18 POS - Odoo 際際滷sCeline George
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In this slide, well discuss on how to add customer note in Odoo 18 POS module. Customer Notes in Odoo 18 POS allow you to add specific instructions or information related to individual order lines or the entire order.Rock Art As a Source of Ancient Indian History
Rock Art As a Source of Ancient Indian HistoryVirag Sontakke
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This Presentation is prepared for Graduate Students. A presentation that provides basic information about the topic. Students should seek further information from the recommended books and articles. This presentation is only for students and purely for academic purposes. I took/copied the pictures/maps included in the presentation are from the internet. The presenter is thankful to them and herewith courtesy is given to all. This presentation is only for academic purposes.Kenan Fellows Participants, Projects 2025-26 Cohort
Kenan Fellows Participants, Projects 2025-26 CohortEducationNC
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These are the educators participating in the Kenan Fellows Program for Teacher Leadership at NC State University.The History of Kashmir Karkota Dynasty NEP.pptx
The History of Kashmir Karkota Dynasty NEP.pptxArya Mahila P. G. College, Banaras Hindu University, Varanasi, India.
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This slide is an exercise for the inquisitive students preparing for the competitive examinations of the undergraduate and postgraduate students. An attempt is being made to present the slide keeping in mind the New Education Policy (NEP). An attempt has been made to give the references of the facts at the end of the slide. If new facts are discovered in the near future, this slide will be revised.
This presentation is related to the brief History of Kashmir (Part-I) with special reference to Karkota Dynasty. In the seventh century a person named Durlabhvardhan founded the Karkot dynasty in Kashmir. He was a functionary of Baladitya, the last king of the Gonanda dynasty. This dynasty ruled Kashmir before the Karkot dynasty. He was a powerful king. Huansang tells us that in his time Taxila, Singhpur, Ursha, Punch and Rajputana were parts of the Kashmir state.
LDMMIA Reiki Yoga S5 Daily Living Workshop
LDMMIA Reiki Yoga S5 Daily Living WorkshopLDM Mia eStudios
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Happy May and Happy Weekend, My Guest Students.
Weekends seem more popular for Workshop Class Days lol.
These Presentations are timeless. Tune in anytime, any weekend.
<<I am Adult EDU Vocational, Ordained, Certified and Experienced. Course genres are personal development for holistic health, healing, and self care. I am also skilled in Health Sciences. However; I am not coaching at this time.>>
A 5th FREE WORKSHOP/ Daily Living.
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Understanding Vibrations
If not experienced, it may seem weird understanding vibes? We start small and by accident. Usually, we learn about vibrations within social. Examples are: That bad vibe you felt. Also, that good feeling you had. These are common situations we often have naturally. We chit chat about it then let it go. However; those are called vibes using your instincts. Then, your senses are called your intuition. We all can develop the gift of intuition and using energy awareness.
Energy Healing
First, Energy healing is universal. This is also true for Reiki as an art and rehab resource. Within the Health Sciences, Rehab has changed dramatically. The term is now very flexible.
Reiki alone, expanded tremendously during the past 3 years. Distant healing is almost more popular than one-on-one sessions? Its not a replacement by all means. However, its now easier access online vs local sessions. This does break limit barriers providing instant comfort.
Practice Poses
You can stand within mountain pose Tadasana to get started.
Also, you can start within a lotus Sitting Position to begin a session.
Theres no wrong or right way. Maybe if you are rushing, thats incorrect lol. The key is being comfortable, calm, at peace. This begins any session.
Also using props like candles, incenses, even going outdoors for fresh air.
(See Presentation for all sections, THX)
Clearing Karma, Letting go.
Now, that you understand more about energies, vibrations, the practice fusions, lets go deeper. I wanted to make sure you all were comfortable. These sessions are for all levels from beginner to review.
Again See the presentation slides, Thx.pulse ppt.pptx Types of pulse , characteristics of pulse , Alteration of pulse
pulse ppt.pptx Types of pulse , characteristics of pulse , Alteration of pulsesushreesangita003
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what is pulse ?
Purpose
physiology and Regulation of pulse
Characteristics of pulse
factors affecting pulse
Sites of pulse
Alteration of pulse
for BSC Nursing 1st semester
for Gnm Nursing 1st year
Students .
vitalsignDrive Supporter Growth from Awareness to Advocacy with TechSoup Marketing Ser...
Drive Supporter Growth from Awareness to Advocacy with TechSoup Marketing Ser...TechSoup
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Learn how to understand and optimize your audience experience with awareness of your impact.
APGAR SCORE BY sweety Tamanna Mahapatra MSc Pediatric
APGAR SCORE BY sweety Tamanna Mahapatra MSc PediatricSweetytamannaMohapat
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Learn about the APGAR SCORE , a simple yet effective method to evaluate a newborn's physical condition immediately after birth ....this presentation covers .....
what is apgar score ?
Components of apgar score.
Scoring system
Indications of apgar score........
How to Manage Purchase Alternatives in Odoo 18
How to Manage Purchase Alternatives in Odoo 18Celine George
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Managing purchase alternatives is crucial for ensuring a smooth and cost-effective procurement process. Odoo 18 provides robust tools to handle alternative vendors and products, enabling businesses to maintain flexibility and mitigate supply chain disruptions.Myopathies (muscle disorders) for undergraduate
Myopathies (muscle disorders) for undergraduateMohamed Rizk Khodair
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herediatary myopthies
myotonia
inflammatory myopthiesComputer crime and Legal issues Computer crime and Legal issues
Computer crime and Legal issues Computer crime and Legal issuesAbhijit Bodhe
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Computer crime and Legal issues: Intellectual property.
privacy issues.
Criminal Justice system for forensic.
audit/investigative.
situations and digital crime procedure/standards for extraction,
preservation, and deposition of legal evidence in a court of law.How to Create Kanban View in Odoo 18 - Odoo 際際滷s
How to Create Kanban View in Odoo 18 - Odoo 際際滷sCeline George
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The Kanban view in Odoo is a visual interface that organizes records into cards across columns, representing different stages of a process. It is used to manage tasks, workflows, or any categorized data, allowing users to easily track progress by moving cards between stages. Lecture 4 INSECT CUTICLE and moulting.pptx
Lecture 4 INSECT CUTICLE and moulting.pptxArshad Shaikh
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The insect cuticle is a tough, external exoskeleton composed of chitin and proteins, providing protection and support. However, as insects grow, they need to shed this cuticle periodically through a process called moulting. During moulting, a new cuticle is prepared underneath, and the old one is shed, allowing the insect to grow, repair damaged cuticle, and change form. This process is crucial for insect development and growth, enabling them to transition from one stage to another, such as from larva to pupa or adult.The History of Kashmir Karkota Dynasty NEP.pptx
The History of Kashmir Karkota Dynasty NEP.pptxArya Mahila P. G. College, Banaras Hindu University, Varanasi, India.
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Ad
M 1.5 p4.s
- 1. P4: speaks the truth out of times. A die is tossed. He reports that there is a six. What is the chance that actually there was six. Solution: Let us define the following events: Speaks truth ; tells a lie ; represents a six. Form the given data, we have , By Bayes theorem, the required probability that actually there was six is and