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

Answer:

E(x) = 7.05

Step-by-step 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