Question

A) 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. What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions. Admissions 1000 1200 1500 Probability 0.6 0.3 0.1

Answer 1

Explanation:

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

1,060 0.5

1,400 0.1

1,620 0.4

1.

What is the expected number of admissions for the fall semester?

Expected number of admissions

Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)

Variance

Standard deviation

Answer by robertb(5567) (Show Source): You can put this solution on YOUR website!

E(X) = 1,060*0.5 + 1,400* 0.1 + 1,620* 0.4 = 1,318, the expected number of admissions for the fall semester.

E%28X%5E2%29+=+1060%5E2%2A0.5+%2B+1400%5E2%2A+0.1+%2B+1620%5E2%2A+0.4+=+1807560

==> Var%28X%29+=+E%28X%5E2%29+-+%28E%28X%29%29%5E2+=+1807560+-+1737124+=+70436

=> SD%28X%29+=+sqrt%28Var%28X%29%29+=+sqrt%2870436%29+=+265.40, to two decimal places (the zero at the hundredth place is significant.)

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