A random variable X takes values between 0 and 4 with a cumulative distribution function:
F(x) = x2/16 for 0 = x = 4
a) Sketch the cumulative distribution function.
b) What is P(X less than or equal to 2)?
c) What is P(1 less than or equal to X less than or equal to 3)?
d) Construct and sketch the probability density function.