Question
In: Statistics and Probability
6. A student has applied for a job at Company X and Company Y. The probability...
6. A student has applied for a job at Company X and Company Y. The probability of getting the job at "X" is 0.45, and the probability of getting the job at "Y" is 0.20. Assuming that the job offers are independent of each other, what is the probability that:
A. The student gets an offer from both companies?
B. The student will get at least one offer?
C. The student will not receive an offer from either company?
Solutions
Expert Solution
P(getting Job at X) = 0.45
P(getting Job at Y) = 0.2
a) P(student gets an offer from both companies) = P(getting Job at X) * P(getting Job at Y) = 0.45 * 0.2 = 0.09
b) P(student will get at least one offer) = P(getting Job at X) + P(getting Job at Y) - P(student gets an offer from both companies)
= 0.45 + 0.2 - 0.09
= 0.56
c) P(student will not receive an offer from either company) = 1 - P(student will get at least one offer) = 1 - 0.56 = 0.44
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