Let X denote a continuous random variable with probability density function f(x) = kx^3/15 for 1≤ X ≤ 2.
a. Determine the value of the constant k.
b. Determine the probability that X > 1.5.
c. Determine the cumulative distribution function F(x) and state the values of F(x) at x = 0.5, 1.5, and 2.5.© BrainMass Inc. brainmass.com June 24, 2018, 1:42 am ad1c9bdddf
This solution used the probability density function to determine the value of 'k', the probability that X>15 and the cumulative distribution function. It also calculates the values of F(x) at 0.5, 1.5 and 2.5 with all steps shown.