Question: The following density function describes the random variable X. F(x) = .10 0 < x < 2 = .20 2 < x < 5 =

The following density function describes the random variable X.

F(x) = .10 0 < x < 2

 = .20 2 < x < 5

 = .15 5 < x < 6

 = .05 6 < x < 7


a. Calculate the probability that X is less than 5.5.

b. Calculate the probability that X is greater than 3.5.

c. What is the probability that X lies between 1 and 6.5?

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