value: 2.30 points Exercise 6-6 (LO6-3) The director of admissions at Kinzua Uni

Question

value: 2.30 points Exercise 6-6 (LO6-3) 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 1,070 1,380 1,560 0.3 0.1 0.6 1. What is the expected number of admissions for the fall semester? Expected number of admissions 2. Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places Variance Standard deviation

Explanation / Answer

1) Expected value = E(X) = 1.07 * 0.3 + 1.38 * 0.1 + 1.56 * 0.6 = 1.395

2) E(X2) = 1.072 * 0.3 + 1.382 * 0.1 + 1.562 * 0.6 = 1.99407

Variance = E(X2) - (E(X))2 = 1.99407 - 1.3952 = 0.05

Standard deviation = sqrt(0.05) = 0.22

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