Compute the Variance and Standard Deviation of a Discrete Random $x$

Multiple Choice

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

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: $1.54$