The director of admissions at Kinzua University in Nova

Chapter 6, Problem 6E

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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. What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions.

Admissions

Probability

1,000

.6

1,200

.3

1,500

.1

Questions & Answers

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. What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions.

Admissions

Probability

1,000

.6

1,200

.3

1,500

.1

ANSWER:

Step 1 of 2

Now we have to find the expected no.of admissions

Given that

Admissions

Probability

1000

0.6

1200

0.3

1500

0.1

Total

1

The expected no.of admissions =

                                                  =

                                                  = 1000(0.6) + 1200(0.3) + 1500(0.1)

                                                  = 1110

Hence the expected no.of admissions in the fall semester is 1110

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