SOLUTION: 2. Eric is a recent graduate who has applied for a job at four different companies, Axel Group, Brad & Pitt, Crossing & Co., and Drew Ltd. Based on past records of people with a si

Question 1086212: 2. Eric is a recent graduate who has applied for a job at four different companies, Axel Group, Brad & Pitt, Crossing & Co., and Drew Ltd. Based on past records of people with a similar resume, the probability that he receives a job offer from Axel Group is 0.80, from Brad & Pitt is 0.40, from Crossing & Co. is 0.70, and from Drew Ltd. is 0.20. Assume that the 4 companies make hiring decisions independently.
a. What is the probability Eric does not get a job offer?
b. What is the probability that at least one of these four companies will offer him a job?
c. What is the probability that at least one of these companies will reject him?

Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!
Question:
2. Eric is a recent graduate who has applied for a job at four different companies, Axel Group, Brad & Pitt, Crossing & Co., and Drew Ltd. Based on past records of people with a similar resume, the probability that he receives a job offer from Axel Group is 0.80, from Brad & Pitt is 0.40, from Crossing & Co. is 0.70, and from Drew Ltd. is 0.20. Assume that the 4 companies make hiring decisions independently.
a. What is the probability Eric does not get a job offer?
b. What is the probability that at least one of these four companies will offer him a job?
c. What is the probability that at least one of these companies will reject him?

Solution:
(a) rejected by all
P(0)=(1-0.8)(1-0.4)(1-0.7)(1-0.2)=0.2*0.6*0.3*0.8=0.0288
(b) at least one job
P(>=1)=1-P(0)=1-0.0288=0.9712
(c) rejected by at least 1
P(<=3)=1-P(4)=1-0.8*0.4*0.7*0.2=1-0.0448 = 0.9552

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