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Binomial probability

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An MBA graduate is applying for nine jobs, and believes that she has in each of the nine cases a constant and independent 0.48 probability of getting an offer.
a. What is the probability that she will have at least three offers?
b. If she wants to be 95% confident of having at least three offers, how many more jobs should she apply for? (Assume each of these additional applications will also have the same probability of success).
c. If there are no more than the original nine jobs that she can apply for, what value of probability of success would give her 95% confidence of at least three offers?

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Solution Summary

The solution provides step by step method for the calculation of binomial probability . Formula for the calculation and Interpretations of the results are also included.

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Business Statistics

An MBA graduate is applying for nine jobs, and believes that she has in each of the nine cases a constant and independent 0.48 probability of getting an offer.

Let X be the number of offers from the 9 jobs applied for. Clearly X is binomial with n =9 and p = 0.48
The probability density function of X is given by
. The probability for different values of x are ...

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