Question: For each exercise, do the following tasks. a. Find the mean of the random variable. b. Obtain the standard deviation of the random variable by

For each exercise, do the following tasks.

a. Find the mean of the random variable.

b. Obtain the standard deviation of the random variable by using one of the formulas given in Definition 5.10.y P(Y = y) 0 0.36 1 4 0.28 0.16 6 0.20

Definition 5.10

The standard deviation of a discrete random variable X is denoted σX or, when no confusion will arise, simply σ. It is defined as 

The standard deviation of a discrete random variable can also be obtained from the computing formula

y P(Y = y) 0 0.36 1 4 0.28 0.16 6 0.20

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