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 Probability 1,040 0.3 1,320 0.2 1,660 0.5 1. What is the expected number of admissions for the fall semester

Answer 1

Answer: 1406

Explanation:

Given Table :

Admissions Probability

1,040 0.3

1,320 0.2

1,660 0.5

Now, the expected number of admissions for the fall semester is given by :-

`E(x)=p_1x_1+p_2x_2+p_3x_3\\\\\Rightarrow\ E(x)=0.3*1040+0.2*1320+0.5*1660\\\\\Rightarrow\ E(x)=1406`

Hence, the expected number of admissions for the fall semester = 1406