Question

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.Admissions Probability1,060 0.61,400 0.11,540 0.3a) What is the expected number of admissions for the fall semester?

Answer 1

The expected number of admissions for the fall semester is approximately 1248 students.

Explanation:

We are given the following information in the question:

Number of Students: 1,060 1,400 1,540

Probability: 0.61 0.11 0.3

Formula:

`\text{Expectation} = E(x) = \sum xP(x)`

Expected number of admissions for the fall semester =

`E(x) = \sum xP(x)\\= (1060* 0.61) + (1400* 0.1) + (1540* 0.3)\\=1248.6`

Hence, the expected number of admissions for the fall semester is approximately 1,248 students.