Math511Exam2Solutions

4 3et ex 4

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Unformatted text preview: 8 Var(X) = 2.667 (Reduce to integer or decimal values.) Solution: X is a binomial random variable with n = 12, and p = 2 3 . Thus, µ = 12 × 2 218 = 8, and σ 2 = 2 × × = . 3 333 et (b). Suppose that the moment generating function for X is M (t ) = . 4 − 3et E(X) = 4 Var(X) = 12 (Reduce to single fractions) 1 Solution: X is a geometric random variable with p = . 4 3 1 q = 4, and σ 2 = 2 = 4 = 12 Thus, µ = 1 1 p 4 16 (c). Suppose X is a random variable with P(X = 0) = 0.3, P(X = 2) = 0.1, and P(X = 4) = 0.6. The moment generating function for...
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This note was uploaded on 01/25/2014 for the course MATH 511 taught by Professor Sumner during the Spring '13 term at South Carolina.

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