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Suppose that 45 studentsare applying to a company. There are 5 job openings but 8 offers are made because typically a fe...

Suppose that 45 studentsare applying to a company. There are 5 job openings but 8 offers are made because typically a few students will turn down the job. Each student has a 60% chance of accepting a job offer, independent of the other student’s decisions. What is the CDF for the number of students who accept job offers?

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Answer #1

Let X denote the random variable of number of students accepting job offers. Since, there are 8 students who have got a job offer and each student has a 60% chance of accepting a job offer, independent of the other student’s decisions. So, X follows Binomial distribution with n = 8 and p = 0.6.

The CDF of binomial distribution is

Fx(α)Σ) 0.60/(0.4)6i when 0 8 jsr

when 0 Fx(x) 0

Fx(x) 1 when >8

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