In the U.S., for fellowship, the Casualty Actuarial Society requires passing a series of nine rigorous exams taken in order plus certain other learning objectives. Suppose that the probability is pi for a student to pass exam 1, and, for 2

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Q: Q4: For the continuous probability function f(x) = 2kx²e-* when x > 0. Find a. Value of k %3D b. b.…

A: The definition of Gamma Function is given by, Γn = ∫0∞xn-1 e-x dx For any integer n,  Γn = (n-1)!…

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A: f(x) = c(x-x2)   a)We know that, ∫abf(x)dx = 1 ∫01c(x-x2)dx = 1 c(x22-x33)]01 = 1 c(12-13) = 1 c = 6…

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Q: Let X1 ~ x² (n, 8) and X2 ~ x² (m, 2) : mX1 find the expected value of X = nX2 Е (X).

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Q: 1. Under Ho, the likelihood function is given by L(Î.) %3D A. True O

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Q: Suppose it is known from large amounts of historical data that X, the number of cars that arrive at…

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Q: Suppose, the walking speed of an elderly is no more than 6 km per hour. The walking speed, Y, in km…

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Q: Suppose it is known from large amounts of historical data that X, the number of cars that arrive at…

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Q: Suppose that 30% of all people who buy a new Iphone also buy an Apple watch. Consider randomly…

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Q: a. Given that X= 1, compute the probability that Y = 1. b. Given that Y1.

A: The conditional probability is defined as P(X = x | Y = y) = P(X = x, Y = y)/P(Y = y)