ANSWER QUESTION 3.8.2 using cdf below 3.4.1 Discrete random variable Y has the CDF F_(Y)(y) as shown: F_(Y)(y) y Use the CDF to find the following probabilities: (a) P[Y]<[1] and P[Y]<=[1] (b) P[Y]>[2] and P[Y]>=[2] (c) P[Y]=[3] and P[Y]>[3] (d) P_(Y)(y) 3.8.2 Find the variance of the random variable Y in Problem 3.4.1.
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Step 1: Recall that the variance of a discrete random variable Y is calculated using the formula Var(Y) = E(Y^2) - [E(Y)]^2, where E(Y) is the expected value of Y. Show more…
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3.4.1 Discrete random variable Y has the CDF FY(y) as shown: Use the CDF to find the following probabilities: (a) P[Y < 1] and P[Y ≤ 1] (b) P[Y > 2] and P[Y ≥ 2] (c) P[Y = 3] and P[Y > 3] (d) PY(y)
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