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Continuous Random Variable and Probability Density Function

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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.

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Solution Summary

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.