Let U, V be two uniform independent random variables on [0, 2]. (a) Given U = 1, find the conditional expectation of 3U + 4V. (b) Given U = 1, find the conditional expectation of 3eU+V. (c) Given U = 1, find the conditional variance of 3U + 4V. (d) Given U + V = 3, find the conditional expectation of U - V and 3U + 4V. (Hint: consider the map g(u, v) = (u - v, u + v).)

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A: Given: X = 17.34 s = 5.45 M = 24.88

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A:

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A:

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A:

Q: t(r) dr

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A:

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A:

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A: By using inclusion and exclusion formula, we calculate the required value.

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A:

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A: We use Venn diagram to solve the given question.

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Q: a b If A = and A2 then Select one: а. x = a? + b2, Bß = ab %3D b. x = a? + b? , B = a2 - b2 O- с. x…

A: