The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 1 4 8 16 p(x) 0.05 0.15 0.25 0.30 0.25 (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.) 87.85 X GB2 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) 27.7875 X GB

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following.
1
2
4
8
16
p(x) | 0.05 0.15 0.25 0.30
0.25
(a) Compute E(X) (in GB). (Enter your answer to two decimal places.)
7.75
GB
(b) Compute V(X) (in GB') directly from the definition. (Enter your answer to four decimal places.)
87.85
X GB2
(c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.)
27.7875
X GB
(d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.)
5.271
GB2
Transcribed Image Text:The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 1 2 4 8 16 p(x) | 0.05 0.15 0.25 0.30 0.25 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) 7.75 GB (b) Compute V(X) (in GB') directly from the definition. (Enter your answer to four decimal places.) 87.85 X GB2 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) 27.7875 X GB (d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.) 5.271 GB2
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