f(x) = ² (2 − x) for -1 ≤ x ≤ c and f(x) = 0 otherwise. (a) Explaining your work, find the value of the constant c. (b) What is P(X > 1)? (c) Calculate the expectation of X.

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A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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A: Given The pdf of  we have Also ,Let we have the given range

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A: The complete solution is in given below

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A: Given information:The given function is

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A: Topic - average value function over interval

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A: Given f(x)=√(x+3)/(x-3)

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A: From the given The data used to draw : x h(x) 0 0 1 0.0202 2 0.0417 3 0.0660 4 0.0952…