A random variable X takes values between 4 and 6 with a probability density function for 4

Question:

A random variable X takes values between 4 and 6 with a probability density function

for 4 ‰¤ x (a) Cheek that the total area under the probability density function is equal to 1.
(b) What is P(4.5 ‰¤ X ‰¤ 5.5)?
(c) Construct and sketch the cumulative distribution function.
(This problem is continued in Problems 2.3.10 and 2.4.5.)

Distribution
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