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 0.30 0.35 0.15 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) GB (b) Compute V(X) (in GB?) directly from the definition. (Enter your answer to four decimal places.) | GB? (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) | GB

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 0.30 0.35 0.15 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) GB (b) Compute V(X) (in GB?) directly from the definition. (Enter your answer to four decimal places.) | GB? (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) | 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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Question

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 0.30 0.35 0.15
(a) Compute E(X) (in GB). (Enter your answer to two decimal places.)
GB
(b) Compute V(X) (in GB?) directly from the definition. (Enter your answer to four decimal places.)
GB?
(c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.)
GB
(d) Compute V(X) (in GB?) using the shortcut formula. (Enter your answer to four decimal places.)
GB2

Expert Solution

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Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

From the provided information,

The probability distribution table is as follow:

X	1	2	4	8	16
P(x)	0.05	0.15	0.30	0.35	0.15

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