The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 2 4 16 p(x) 0.05 0.15 0.25 0.30 0.25 X 1 8 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) 7.75 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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following.
8
16
p(x) 0.05 0.15 0.25 0.30 0.25
X
1
2
4
(a) Compute E(X) (in GB). (Enter your answer to two decimal places.)
7.75
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
Transcribed Image Text:The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 8 16 p(x) 0.05 0.15 0.25 0.30 0.25 X 1 2 4 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) 7.75 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
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