A random variable x has this probability distribution: a. Find p(4). b. Construct a probability histogram to describe p(x). c. Find µ, Ï2, and Ï.

A random variable x has this probability distribution:

a. Find p(4).
b. Construct a probability histogram to describe p(x).
c. Find µ, σ2, and σ.
d. Locate the interval µ ± 2σ on the x-axis of the histogram. What is the probability that x will fall into this interval?
e. If you were to select a very large number of values of x from the population, would most fall into the interval µ ± 2σ? Explain.

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