The Following Table Shows Part of the Probability Distribution for a Random

Short Answer

The following table shows part of the probability distribution for a random variable x.

$$\begin{array} { r r } \mathbf { x } & \mathbf { f x } ) \\0 & 0.2 \\1 & ? \\2 & 0.15 \\3 & ? \\4 & 0.15\end{array}$$
a. The mean of the above distribution is known to be 1.8 i.e., Ex) = 1.8). Determine f1) and f3).
b. Compute the variance and the standard deviation for the above probability distribution.