A PhD student from Atkinson College is trying to decide on the number of universities in which she should apply to for a teaching position. Given her work experience and research work, she can expect to receive a job offer from three quarters of the universities to which she applied. The student decides to apply to only ten of the universities.

What is the proportion that more than six universities that she is applying to, will give her a job offer? What is the proportion that more than four but no more than eight universities she is applying to, will give her a job offer?

What is the standard deviation of the number of universities that she will get a job offer from? In addition, what is the value of V(4x + 3).

This PhD student met her friend who advised her to apply to twelve universities instead. What is the probability that she will receive a job offer from exactly seven universities