Problem 5 (15 points) Basic Probability Analysis tpplicant has applied for posit
ID: 3371936 • Letter: P
Question
Problem 5 (15 points) Basic Probability Analysis tpplicant has applied for positions at Company A and Company B. The proba getting an offer from Company A is 0.4, and the probability of getting an offer fro is the probability that ssuming that the two job offers are independent of each other, what a. the applicant gets an offer from both companies? b. the applicant will get at least one offer? C. the applicant will not be given an offer from either company? (hint: think neither) Company A does not offer the applicant a job, but Company B does?Explanation / Answer
Solution:
probability that company A offers a job = P( A )=0.4
probability that company A does not offers a job = P( A )'= 1 - 0.4 = 0.6
probability that company B offers a job = P( B )= 0.3
probability that company B does not offers a job = P( B )'= 1 - 0.3 = 0.7
( a )
Probability that both companies offer =P( A ) * P( B ) = 0.4 * 0.3 = 0.3
( b )
Probability that the applicant will get atleast one offer = P( A ) * P( B )' + P( B ) * P( A )' + P( A ) * P( B )
= 0.4*0.7 + 0.3*0.6 + 0.4*0.3
= 0.28 + 0.18 + 0.12
= 0.58
( c )
Probability that the applicant will not be given an offer from either company = P(A)' * P(B)' = 0.6*0.7
= 0.42
( d )
Probability that A does not offer the applicant but company B does = P(A)' * P(B) = 0.6 * 0.3 = 0.18