Question: The following density function describes the random variable X. f(x) = .40 .10x 0 < x < 4 = .10x .40 4 <

The following density function describes the random variable X.

f(x) = .40 − .10x 0 < x < 4

 = .10x − .40 4 < x < 6

a. What is the probability that X is less than 2?

b. Find the probability that X is greater than 5.

c. Find the probability that X lies between 2.5 and 5.5.

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