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

Question 137

Multiple Choice

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

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

The Probability Distribution of a Random Variable Is Given Along x01234P(X=x)116143814116\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}xP(X=x)​0161​​141​​283​​341​​4161​​​

Multiple Choice

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

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