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.) 27.7875 GB2 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) 5.2714 GB (d) Compute V(X) (in GB') using the shortcut formula. (Enter your answer to four decimal places.)

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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I need some help with this question section D.)

The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following.
2
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.)
27.7875
GB?
(c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.)
5.2714
GB
(d) Compute V(X) (in GB) using the shortcut formula. (Enter your answer to four decimal places.)
5.271
X GB?
Transcribed Image Text:The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 2 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.) 27.7875 GB? (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) 5.2714 GB (d) Compute V(X) (in GB) using the shortcut formula. (Enter your answer to four decimal places.) 5.271 X GB?
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