Question

The probability distribution of a discrete random variable X is defined as:
$P(X=x)=\begin{cases} 3kx & \text{for } x=1,2,3\\\ 5k(x+2) & \text{for } x=4,5 \\\ 0& \text{otherwise}\end{cases}$
The mean of the distribution is:

• A. $\frac{92}{23}$
• B. $\frac{337}{83}$
• C. $\frac{65}{34}$
• D. $\frac{10}{83}$

Answer 1

Answer: (B)

$\frac{337}{83}$

Answer 2

The correct option is (B): $\frac{337}{83}$