Question

The table below shows the probability distribution of a random variable Z P(Z) 4 0.4 5 0.3 6 0.3 What is the mean of the probability distribution? Write your answer as a decimal.

Answer 1

The mean of the probability distribution would be

$\mu=\Sigma x\cdot P(x)$

So, let's multiply each pair of values and add them

$\mu=4\cdot0.4+5\cdot0.3+6\cdot0.3=1.6+1.5+1.8=4.9$

Hence, the mean is 4.9.