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stat_exam2a

# stat_exam2a - Name Student ID Exam#2 Form A Statistics...

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Chapter 4 [1] Suppose X N ( μ = 50 , σ 2 = 20 2 ) and P ( X < c ) = 0 . 5, then c is a) 0 . 1 b) 1 . 96 c) 50 d) 70 e) 50 + 1 . 96 × 20 Suppose X has the following pdf . f ( x ) = x 2 for 0 < x < 2 . Answer the next 2 questions. [2] The mean of the above random variable X is a) 2 x =0 x × x/ 2 b) x 2 x × x/ 2 c) R 2 0 x 2 / 2 dx d) R 2 -∞ x 2 / 2 dx e) None of the above. [3] If ME stands for the median of X then a) ME = 5 b) R ME 0 x/ 2 dx = 0 . 5 c) R ME 0 x 2 / 2 dx = 0 . 5 d) R ME -∞ x/ 2 dx = 0 . 5 e) None of the above. [4] Suppose Z N (0 , 1) and P ( Z > c ) = 0 . 001, then c is a) 1.96 b) 3.10 c) -3.10 d) -1.96 e) None of the above. [5] Suppose X Gamma ( α = 2 , β = 4). Then P ( X < 12) is a) 0.950 b) 0.908 c) 0.594 d) 1.000 e) 0.801 [6] Suppose X Beta ( α = 5 , β = 2). Then a) R 1 0 x 5 (1 - x ) dx = E ( X )Γ5Γ2 / Γ7 b) R 0 x 5 (1 - x ) dx = E ( X )Γ5Γ2 / Γ7 c) R 1 0 x 4 (1 - x ) dx = E ( X )Γ5Γ2 / Γ7 d) R 1 0 x 5 (1 - x ) 2 dx = E ( X )Γ5Γ2 / Γ7 e) R 1 0 x 4 (1 - x ) 2 dx = E ( X )Γ5Γ2 / Γ7 2
[7] If X Lognormal ( μ = 10 , σ 2 = 16) distribution then P ( X 10) is a) P ( Z 10 - ln(10) ln(4) ) b) P ( Z ln(10) - 10 4 ) c) P ( Z

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stat_exam2a - Name Student ID Exam#2 Form A Statistics...

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