b)What is the probability that exactly one of the employees makes it through the

Question

b)What is the probability that exactly one of the employees makes it through the probationary period successfully.

c)If the employee A makes it through the probabition period successfully what is the probability that employee B also makes it successfull

d)Are the two events ,"A makes it" and "B makes it" independent.Explain using probability

c)

(10 pts) Two newly hired air traffic controllers are beginning their probationary period on the job. Their supervisor assesses 0.60 (60%) probability that employee A will a make it through the probationary period successfully, and a probability of 0.80 (80%) that employee B will make it through successfully. She also believes there is a 0.10 (10%) probability that neither candidate will make it through success a. (4 pts) Draw a int probability table summarizing probabilities of both the employees making it through, employee A but not B, and so on.

Explanation / Answer

a)

b) P(exactly 1 employee making it through) = 0.1+0.3 = 0.4

c) P(B successful|A successful) = P(A and B successful)/P(B successful) = 0.5/0.8 = 0.625

d) They are not independent as P(B successful|A successful) P(B successful) which is 0.8

Employee B Make it through Not make it through Employee A Make it through 0.5 0.1 0.6 Not make it through 0.3 0.1 0.4 0.8 0.2 1

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