Question

A selective college would like to have an entering class of 1200. Because not all students who are offered admission accept, the college admits more than 1200 students. Past experience shows that about 70% of the students will accept. The college decides to admit 1500 students. Assuming that students make their decision independently, the number who accept, X, has the Bin(1500, 0.70) distribution. If this number is lower than 1200, the college will admit students from its waiting list.What is the mean of the distribution of X - that is, the expected number of students who will accept admission

Answer 1

The value is
`\mu = 1050`

Explanation:

From the question we are told that

The sample size is n = 1500

The probability of a student accepting the admission is p = 0.70

Generally the mean off the distribution of X is mathematically represented as

`\mu = np`

=>
`\mu  =  1500 *  0.70`

=>
`\mu  =  1050`