The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 1 2 8 16 p(x) 0.05 0.15 0.25 0.30 0.25 4 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) GB (b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.) GB² (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) GB (d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.) GB²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following.
X
4
1
p(x) 0.05
0.05 0.15 0.25 0.30 0.25
(a) Compute E(X) (in GB). (Enter your answer to two decimal places.)
16
(b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.)
GB²
(c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.)
GB
(d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.)
GB2
Transcribed Image Text:The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. X 4 1 p(x) 0.05 0.05 0.15 0.25 0.30 0.25 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) 16 (b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.) GB² (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) GB (d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.) GB2
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