practice_exam2

practice_exam2 - 1 For each of the following fill in the...

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Unformatted text preview: 1. For each of the following, fill in the missing value. If there is not enough information to find the missing value, state that. a. μ = 2 ,σ = 4 ,E [ X 2 ] =?? b. μ = 5 ,E [ X 2 ] = 30 ,σ 2 =?? c. σ = 3 ,E [ X 2 ] = 9 ,μ =?? d. σ = 4 ,E [ X 2 ] = 20 ,μ =?? 2. Suppose E [( X- μ ) 3 ] = 0 and μ 6 = 0. Show that E [ X 3 ] 6 = 0. 3. Calculate μ and σ 2 for each of the following pmfs. a. p x (0) = . 4 ,p x (1) = . 5 ,p x (2) = . 1 b. p x (- 5) = . 5 ,p x (1) = . 3 ,p x (4) = . 2 c. p x (- 1) = . 1 ,p x (0) = . 7 ,p x (1) = . 2 4. Calculate the cdf for each of the following pmfs. a. p x (- 4) = . 3 ,p x (0) = . 6 ,p x (3) = . 1 b. p x (0) = . 9 ,p x (3) = . 1 5. Let X be Binomial( n,p ). Use the Binomial Table to find the following. a. P (1 ≤ X ≤ 4) ,n = 7 ,p = 0 . 05 b. P ( X ≥ 3) ,n = 10 ,p = 0 . 4 6. Let X be Poisson( λ ). Use the Poisson Table to find the following. a. P ( X > 4) ,λ = 12 b. P (1 ≤ X < 6) ,λ = 3 . 5 7. Calculate the pmf for the following cdf....
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practice_exam2 - 1 For each of the following fill in the...

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