Question 253037: A person has applied for positions at Company A, Company B and Company C. The probability of obtaining an offer from company A is 0.4, Company B is 0.3 and Company C is 0.6 Assume that the three job offers are independent
a. what is the probability that the person will recieve job offers from all three companies
b.what is the probability that the person will recieve a job offer from Company B only?
C. what is the probability that the person will recieve exactly one job offer from the three companies?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! In general,
probability of A and B is equal to probability of A times probability of B.
probability of A or B is equal to probability of A plus probability of B.
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probability of getting a position at company A is equal to .4
probability of getting a position at company B is equal to .3
probability of getting a position at company C is equal to .6
probability of NOT getting a position at company A is equal to 1 - .4 = .6
probability of NOT getting a position at company B is equal to 1 - .3 = .7
probability of NOT getting a position at company C is equal to 1 - .6 = .4
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a. what is the probability that the person will recieve job offers from all three companies.
probability of getting a job offer from all 3 companies is equal to:
probability of getting a job offer from company A times:
probability of getting a job offer from company B times:
probability of getting a job offer from company C.
p(A) * p(B) *p(C) = .4 * .3 * .6 = .072
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b.what is the probability that the person will recieve a job offer from Company B only?
probability of getting a job offer from company B only is equal to:
probability of getting a job offer from company B times:
probability of NOT getting a job offer from company A times:
probability of NOT getting a job offer from company C.
p(B) * p(!A) * p(!C) = .3 * .6 * .4 = .072
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C. what is the probability that the person will recieve exactly one job offer from the three companies?
the probability of getting a job offer from only one company is equal to:
the probability of getting a job offer from A and not B and not C, plus:
the probability of getting a job offer from B and not A and not C, plus:
the probability of getting a job offer from C and not A and not B.
p(A) * p(!B) * p(!C) = .4 * .7 * .4 = .112
p(B) * p(!A) * p(!C) = .3 * .6 * .4 = .072
p(C) * p(!A) * p(!B) = .6 * .6 * .7 = .252
total probability = .112 + .072 + .252 = .436
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