Suppose X is a discrete random variable. Complete the table below and find the mean, variance, and standard deviation of X. The probability distribution for a random variable X is given in the table...

Suppose X is a discrete random variable. Complete the table below and find the mean, variance, and standard deviation of X.

The probability distribution for a random variable X is given in the table below.

a. Find the mean, variance, and standard deviation of X.

b. Find the probability X takes on a value smaller than the mean.

 c. Using the probability distribution, explain why the value of the mean of X makes sense.

Suppose Y is a discrete random variable with probability distribution given in the table below.

Suppose the random variable X has the probability distribution given in the table below.