Continuous random variable with probability distribution


Suppose that X is a continuous random variable with a probability distribution f(x) = (2x)/25 where x is between 0 and 5 (inclusive). Now let Y = 3x + 5 and domain be 5 ≤ y ≤ 20. Find:

a) P(Y < 15)

b) E(Y)

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Basic Statistics: Continuous random variable with probability distribution
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