Question: 4.86 Probability Distribution II A random variable X can assume five values: 0, 1, 2, 3, 4. A portion of the probability distribution is shown

4.86 Probability Distribution II A random variable X can assume five values: 0, 1, 2, 3, 4. A portion of the probability distribution is shown here:

x 0 1 2 3 4 p(x) 0.1 0.3 0.3 0.1

a. Find p(3).

b. Construct a probability histogram for p(x).

c. Calculate the population mean, variance, and standard deviation.

d. What is the probability that X is greater than 2?

e. What is the probability that X is 3 or less?

x 0 1 2 3 4 p(x) 0.1 0.3 0.3 0.1

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