The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. x 1 2 4 8 16 p(x) 0.05 0.10 0.30 0.40 0.15 (a) Compute E(X).

Question

asked Nov 22, 2020 12.9k views

1 Answer

Dave Carpeneto · Answer 1 · 2020-11-26T22:03:17+0000

Answer:

E(x) = 7.05

Explanation:

We are given the following information in the question:

x: 1 2 4 8 16

p(x): 0.05 0.10 0.30 0.40 0.15

Formula:

$E(x) = \sum x.p(x)\\= (1)(0.05) + (2)(0.10) + (4)(0.30) + (8)(0.40) + (16)(0.15)\\= 7.05$

Hence, the expectation of the given data is 7.05