A corporation has 15 salesmen.pdf
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A corporation has 15 salesmen, 5 who are rated good, 7 average, and 3 poor. Three salesmen are selected randomly for their promotions. What is the probability that
A corporation has 15 salesmen.pdf
- 1. Example A corporation has 15 salesmen, 5 who are rated good, 7 average, and 3 poor. Three salesmen are selected randomly for their promotions. What is the probability that (i) All are good (ii) Atmost one average (iii) One of each kind. Solution 5 are good 7 are average 3 are poor (i) ?(??? ??? ????) = ?3 5 ?3 15 = 10 455 = 0.0219 (ii) ?(Atmost one average) = ?(? = 0) + ?(? = 1) ?(Atmost one average) = ?0 7 ¡Á ?3 8 ?3 15 + ?1 7 ¡Á ?2 8 ?3 15 ?(Atmost one average) = 56 + 196 455 = 0.5538 (iii) ?(One of each kind) = ?1 5¡Á?1 7¡Á?1 3 ?3 15 = 105 455 = 0.2307