Answer:
6.75 GB
Step-by-step explanation:
Given the probability mass function of the amount of memory X (GB) in a purchased flash drive.
[tex]\left|\begin{array}{c|ccccc}x&1&2&4&8&16\\p(x)&0.05&0.15&0.30&0.35&0.15\end{array}\right|[/tex]
Expected Value of X, [tex]E(X)=\sum x \cdot P(x)[/tex]
[tex]=(1 \times 0.05)+(2 \times 0.15)+(4 \times 0.30) +(8 \times 0.35) +(16 \times 0.15)\\=0.05+0.3+1.2+2.8+2.4\\=6.75[/tex]
The expected value of X is 6.75 GB.
