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
1,400	.5
1,500	.3
1,200	.2
What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)

Answer 1

X : student admissions for the fall semester

And the Probability Distribution is

Given

x:Admissions	P(x):Probability
1,400	0.5
1,500	0.3
1,200	0.2

Expected number of admissions for the fall semester = E(X)

Expected number of admissions for the fall semester = 1390

Variance of the number of admissions = Var(X)

Var(X) = E(X²) - E(X)²

Var(X) = E(X²) - E(X)² = 1943000-1390² = 1943000-1932100 = 10900

Variance of the number of admissions = 10900

Expected number of admissions for the fall semester = 1390

Variance of the number of admissions = 10900

Standard deviation of the number of admissions =104.40