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Assume that the cumulative distribution function of random variable X is given by 0, x 2. Fx (x) = (a) Find P (X 1).

Assume that the cumulative distribution function of random variable X is given by 0, x 2. Fx (x) = (a) Find P

Assume that the cumulative distribution function of random variable X is given by 0, x 2. Fx (x) = (a) Find P (X 1). (b) Find the probability mass function of X. (c) Find the probability mass function and the cumulative distribution function of Y = 2 - X. (d) Is it possible to find a function f so that if we define Z = f(X), then Z has two different values a and b, with P (Z = a) = P(Z = b) = 1/2? Justify your answer! Assume that the cumulative distribution function of random variable X is given by 0, x 2. Fx (x) = (a) Find P (X 1). (b) Find the probability mass function of X. (c) Find the probability mass function and the cumulative distribution function of Y = 2 - X. (d) Is it possible to find a function f so that if we define Z = f(X), then Z has two different values a and b, with P (Z = a) = P(Z = b) = 1/2? Justify your answer!

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a To find PX 1 we need to calculate the cumulative probability up to 1 Since the cumulative distribu... blur-text-image

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