3. An applicant has applied for positions at State Street Bank and Bank of America. The probability of getting an offer from State Street Bank is 0.3, and the probability of getting an offer from Bank of America is 0.35. Assuming that the two job offers are independent of each other:
a. Given that State Street Bank offers her a job, what is the probability that Bank of America offers her a job?
b. What is the probability that the applicant gets an offer from both banks?
c. What is the probability that the applicant will get at least one offer?
d. What is the probability that the applicant will not be given an offer from either bank?
2007-10-14 09:56:16 · 3 answers · asked by Anonymous in Education & Reference ➔ Homework Help
a. They're independent, so the probability of getting a job offer from BOA is independent of State St. It stays 0.35.
b. .3 * .35 = .105
c. probability of one plus probability of the other minus probability of both
.3 + .35 - .3*.35 = .545
d. 1 - probability from c above
1 - .545 = .455
2007-10-14 10:14:20 · answer #1 · answered by Steve A 7 · 0⤊ 0⤋
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2016-12-14 17:43:41 · answer #2 · answered by mckernan 4 · 0⤊ 0⤋
the events are independent
A. 0.35
B.p(a and b)=p(A) x p(B) = .3 x .35 = 0.105
C. 0.35
D. 1- (p(A) + p(B))= 1- (.65)=0.35
2007-10-14 10:11:34 · answer #3 · answered by null 3 · 0⤊ 1⤋