Find probability for Normal approximation of the Binomial distribution

Admitting students to college. A selective college would like to have an entering class of 950 students. Since not all students who are offered admission accept, the college admits more than 950 students. Past experience shows that about 75 percent of the students admitted will accept. The college decides to admit 1200 students. Assuming that students make their decisions independently, the number who accept has the B (1200, 0.75) distribution. If this number is less than 950, the college will admit students from its waiting list.

a)What are the mean and standard deviation of number X of students who accept?

b)The college does not want more than 950 students. What is the probability that more than 950 will accept?

c)If the college decides to increase number of admission offers to 1300, what is the probability that more than 950 will accept?

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What is the probability that more than 950 will accept : Assuming that students make their decisions independently, the number who accept has the B (1200, 0.75) distribution. If this number is less than 950, the college will admit students from its waiting list. |

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