The director of admissions at Kinzua University in Nova Scotia estimated the dis

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 1,500 1,200 5 Click here for the Excel Data File 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 1.420 Standard deviation

Explanation / Answer

1) E(X) = 1400 * 0.5 + 1500 * 0.4 + 1200 * 0.1 = 1420

2) E(X2) = 14002 * 0.5 + 15002 * 0.4 + 12002 * 0.1 = 2024000

Var(X) = E(X2) - (E(X))2 = 2024000 - 14202 = 7600

Standard deviation = sqrt(7600) = 81.18

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