In a Sandwich Shop, the Following Probability Distribution Was Obtained

Multiple Choice

In a sandwich shop, the following probability distribution was obtained. The random variable x represents thenumber of condiments used for a hamburger. Find the mean and standard deviation for the random variable x. $$\begin{array} { c | c } \mathrm { x } & \mathrm { P } ( \mathrm { x } ) \\\hline 0 & 0.30 \\1 & 0.40 \\2 & 0.20 \\3 & 0.06 \\4 & 0.04\end{array}$$

A) mean: 1.14; standard deviation: 1.04
B) mean: 1.54; standard deviation: 1.30
C) mean: 1.30; standard deviation: 2.38
D) mean: 1.30; standard deviation: 1.54