Question

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).

Answer 1

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