a) Let X be a random variable with probability mass function given by $p(x) = \frac{1}{7}$, $x = -3, -2, -1, 0, 1, 2, 3$. Let $Y = X^2 - 1$. Find the probability mass function of Y. b) Write the cumulative distribution function of Y.
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To find the probability mass function of Y, we need to find the probability of each possible value of Y. Since Y = X^2, we can square each possible value of X to find the corresponding values of Y. When X = -3, Y = (-3)^2 = 9. When X = -2, Y = (-2)^2 = 4. When Show more…
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