#10 Need this done asap please. Only need the answers in the format that the que
ID: 3073367 • Letter: #
Question
#10
Need this done asap please. Only need the answers in the format that the question requests. Thanks alot in advance!
The pmf or the amount of memory X (GB) in a purchased fash drive is given as the following. Xx 4 8 16 p(x) 0.05 0.10 0.30 0.35 0.20 (a) Compute E(X). (Enter your answer to two decimal places.) (b) Compute V(X) directly from the definition. (Enter your answer to four decimal places.) GB2 (c) Compute the standard deviation of X. (Round your answer to three decimal places.) (d) Compute V(X) using the shortcut formula. (Enter your answer to four decimal places.)Explanation / Answer
a)
E(X) = 1 *0.05 + 2 *0.10 + 4 *0.30 + 8 * 0.35 + 16 * 0.20
= 7.45
b)
V (x) = ( 1 - 7.45)^2 * 0.05 + (2-7.45)^2 *0.10 + (4 -7.45)^2 *0.30 + (8 - 7.45)^2 * 0.35 + (16 - 7.45)^2 * 0.20
= 23.3475
c)
Standard deviation of x = sqrt(variance)
= sqrt(23.3475)
= 4.8319
d)
V(x) = 23.3475
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.