Math 206 - HW 41Continuous Random Variables1. Consider the functionf(x) =θxθ-1forx∈[0,1] and 0 elsewhere.a. Verify that is a proper distribution, i.e. it integrates to 1.b. Forθ= 2, calculate the probability thatX < .5c. Forθ= 2, calculate the probability that
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Probability distribution, Probability theory, probability density function