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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 k
Solution
Here F(3) – F(1) = 1
k(3 – 1)4 – 0 = 1
k(2)4 = 1
k(16) = 1
k = `1/16`
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