A company has a number of vacancies to fill in its engineering department. Offers of employment are extended to 15 candidates, and it is believed that, for each candidate, the probability that the offer will be accepted is 0.70. Assuming that candidates’ decisions are made independently, what is the probability that between 11 and 13 acceptances will be made? (Show the formula that is used to compute the numerical answer in each case.)
Offers of employment are extended to 15 candidates, and it is believed that, for each candidate, the probability that the offer will be accepted is 0.70. Each candidates' decision is made independently. The selection of each candidate is bernoullian trial, with a probability of 0.7 for success. Here success is being accepted in the engineering department.
The total number of candidates accepted, let it be X then X ~ bin(15,0.7)
probability that between 11 and 13 acceptances will be made
= 0.4802235
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