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

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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.
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
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 0.30 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
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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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