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

Multiple Choice

Compute the Variance and Standard Deviation of a Discrete Random Variable
-The random variable $x$ represents the number of tests that a patient entering a clinic will have along with the corresponding probabilities. Find the mean and standard deviation for the random variable $x$ .
$\begin{array}{l|c}\mathrm{x} & \mathrm{P}(\mathrm{x}) \\\hline 0 & \frac{3}{17} \\1 & \frac{5}{17} \\2 & \frac{6}{17} \\3 & \frac{2}{17} \\4 & \frac{1}{17}\end{array}$

A) mean: 1.59; standard deviation: $1.09$
B) mean: $1.59$ ; standard deviation: $3.72$
C) mean: $2.52$ ; standard deviation: $1.93$
D) mean: $3.72$ ; standard deviation: $2.52$