Question: 4.85 Probability Distribution | A random variable X has this probability distribution: a. Find p(4). b. Construct a probability histogram to describe p(x). c. Find

4.85 Probability Distribution | A random variable X has this probability distribution:

X 0 1 2 3 4 5 p(x) 0.1 0.3 0.4 0.1

a. Find p(4).

b. Construct a probability histogram to describe p(x).

c. Find , or, and or.

d. Locate the interval 20 on the x-axis of the histo- gram. 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 20? Explain.

X 0 1 2 3 4 5 p(x) 0.1 0.3 0.4 0.1 ? 0.05

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