The Probability Distribution of a Random Variable Is Given Along $\begin{array}{r|ccccc}x & 0 & 1 & 2 & 3 & 4 \\\hline P(X=x) & \frac{1}{16} & \frac{1}{4} & \frac{3}{8} & \frac{1}{4} & \frac{1}{16}\end{array}$

The probability distribution of a random variable is given along with its mean and standard deviation. Draw aprobability histogram for the random variable; locate the mean and show one, two, and three standard deviationintervals.
-The random variable X is the number of tails when four coins are flipped. Its probability distribution is as follows. $\begin{array}{r|ccccc}x & 0 & 1 & 2 & 3 & 4 \\\hline P(X=x) & \frac{1}{16} & \frac{1}{4} & \frac{3}{8} & \frac{1}{4} & \frac{1}{16}\end{array}$
$$\mu = 2 , \sigma = 1$$

A)

B)


C)