Ex0213505159031911638 ex2021352051592031912272298

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Unformatted text preview: = 0.08 × 02 + 0.15 × 12 + 0.45 × 22 + 0.27 × 32 + 0.053 × 42 – 2.062 = 0.9364 Problem 2 a. Compute the first three moments of the random variable X, E(X), E(X2), E(X3), and V(X). E(X) = 0.2 × 13.5 + 0.5 × 15.9 + 0.3 × 19.1 = 16.38 E(X2) = 0.2 × 13.52 + 0.5 × 15.92 + 0.3 × 19.12 = 272.298 E(X3) = 0.2 × 13.53 + 0.5 × 15.93 + 0.3 × 19.13 = 4592.276 V(X) = 272.298 – 16.382 = 3.9936 b. If the price of a freezer having capacity X ft3 is 25X − 8.5, what is the expected price paid by the next customer to buy a freezer? E(25X − 8.5) = 25 × 16.38 –...
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This note was uploaded on 01/22/2014 for the course STATISTICS 35 taught by Professor Dinov during the Spring '09 term at UCLA.

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