A random variable X takes values between 0 and 4 with a cumulative distribution function for 0 curren x curren 4 (a) What is P(X curren 2) (b) What is P(1 curren X curren 3) (c) Construct and sketch the probability density function (This problem is continued in Problems 2 3 11 and 2 4 6 ) F(x) 16

Question: A random variable X takes values between 0 and 4 with a cumulative distribution function for 0 ¤ x ¤ 4. (a) What is P(X

A random variable X takes values between 0 and 4 with a cumulative function

for 0 ‰¤ x ‰¤ 4.
(a) What is P(X ‰¤ 2)?
(b) What is P(1 ‰¤ X ‰¤ 3)?
(c) Construct and sketch the probability density function. (This problem is continued in Problems 2.3.11 and 2.4.6.)

F(x) = 16

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