Question

X 4 6 9 11 15

Answer 1

The mean of this  discrete random variable is 7.96

Solution:

Given that,

x         4       6          9         11        15

P(x)   0.20   0.34     0.15    0.22     0.09

Mean is given as:

$\mu_{x}=\sum[x \times P(x)]$

Therefore,

$\mu_{x} = (4 \times 0.20) + (6 \times 0.34 ) + (9 \times 0.15 ) + (11 \times 0.22 ) + (15 \times 0.09)\\\\Simplify\\\\\mu_{x} = 0.8 + 2.04 + 1.35 + 2.42 + 1.35\\\\\mu_{x} = 7.96$

Thus, mean of this  discrete random variable is 7.96