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Question
A continuous random variable X has the following distribution function
F(x) = `{{:(0",", "if" x ≤ 1),("k"(x - 1)^4",", "if" 1 < x ≤ 3),(1",", "if" x > 3):}`
Find the Probability density function
Solution
f(x) = `("d"("F"(x)))/("d"x) = {{:(4"k"(x - 1)^3",", 1 < x ≤ 3),(0",", "elsewhere"):}`
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