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 16p(x) 0.05 0.15 0.30 0.35 0.15(a) Compute E(X). (Enter your answer to two decimal places.)GB

Answer 1

6.75 GB

Explanation:

Given the probability mass function of the amount of memory X (GB) in a purchased flash drive.

`\left|\begin{array}cx&1&2&4&8&16\\p(x)&0.05&0.15&0.30&0.35&0.15\end{array}\right|`

Expected Value of X,
`E(X)=\sum x \cdot P(x)`

`=(1 * 0.05)+(2 * 0.15)+(4 * 0.30) +(8 * 0.35) +(16 * 0.15)\\=0.05+0.3+1.2+2.8+2.4\\=6.75`

The expected value of X is 6.75 GB.