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Suppose px(x) = 4x^3 if 0 < x < 1 And zero everywhere else 1. What is the probability that X is less than .25

Suppose

px(x) = 4x^3 if 0 < x < 1

And zero everywhere else

1. What is the probability that X is less than .25

2. What is the probability that X is greater than .75.

3. What is E[X|X > .5]? Hint: in order to find pX|X>.5 (x) use:

px|x>.5 (x) = px(x) / P(X > .5)

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