A random variable X takes values between 0 and with a cumulative distribution function F(x) =

Question:

A random variable X takes values between 0 and ∞ with a cumulative function
F(x) = A + Be-x
for 0 ≤ x ≤ ∞.
(a) Find the values of A and B sketch the cumulative function.
(b) What is P(2 ≤ X ≤ 3)?
(c) Construct and sketch the probability density function.
Distribution
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