Quiz 2_D_solution

# Quiz 2_D_solution - from company A is 0.8 and the...

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IEN 311 Fall 2010 Quiz 2 Section D/D1 Name: Grading rule: Try to solve the problems correctly. As a general policy, I do not negotiate partial credits with anyone. 1. (4 points) A company issues a questionnaire whereby each employee must select and rank 5 items with which he or she is most satisfied from the 8 items, including wages , work environment , vacation time , job security , supervisors , health insurance , break time , and retirement plan . The ranking is to be indicated by the numbers 1, 2, 3, 4 and 5, where 1 indicates the item involving the greatest satisfaction and 5 the least among those 5. In how many ways can an employee answer this questionnaire? Ans: 6720 4 5 6 7 8 5 8 = × × × × = P or ( 29 6720 120 * 56 ! 5 5 8 = = 2. (6 points) John is going to graduate from a university by the end of the semester. After being interviewed at two companies he likes, he assesses that his probability of getting an offer
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Unformatted text preview: from company A is 0.8, and the probability that he gets an offer from company B is 0.6. If, on the other hand, he believes that the probability that he will get offers from both companies is 0.5, Then: (a) What is the probability that he will get at least one offer from these two companies? Ans: ( 29 ( 29 ( 29 ( 29 9 . 5 . 6 . 8 . =-+ = ∩-+ = ∪ B A P B P A P B A P (b) What is the probability that he will not get any offer from these two companies? Ans: ( 29 [ ] ( 29 1 . 9 . 1 1 ' =-= ∪-= ∪ B A P B A P (c) Define two events A={John will get an offer from company A}, B={John will get an offer from company B}. Are the two events independent, why? Ans: No, they are not independent because ( 29 ( 29 ( 29 833 . 6 . 5 . | = = ∩ = B P B A P B A P , but ( 29 80 . = A P ....
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