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Let X be a discrete random variable that takes on the values -2, 3, 4, 5, 6, 7 with respective probabilities .10, 11, .21.22, 23, 13. The following table summarizes this: X P(x) -2 3 -4 5 10 .11 21 22 a. Find the probability that X>0. b. Calculate the expected value ex of X c. Calculate the expected value ex2 of x² -6 7 13 23

Let X be a discrete random variable that takes on the values -2, 3, 4, 5, 6, 7 with respective probabilities .10, 11, .21.22, 23, 13. The following table summarizes this: X P(x) -2 3 -4 5 10 .11 21 22 a. Find the probability that X>0. b. Calculate the expected value ex of X c. Calculate the expected value ex2 of x² -6 7 13 23

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let X be a discrete random variable that takes on the values -2, 3, 4, 5, -6, 7 with respective probabilities .10, 11, .21.22, 23, 13. The following table summarizes this: x p(x) -2 -4 3 10 .11 21 a. Find the probability that X>0. b. Calculate the expected value ex of X 5 22 c. Calculate the expected value ex2 of x² d. Calculate the variance of X e. Calculate the standard deviation of X f. Calculate the variance of 4X 9. Paste your R script in the box below. -6 7 23 13
Transcribed Image Text:Let X be a discrete random variable that takes on the values -2, 3, 4, 5, -6, 7 with respective probabilities .10, 11, .21.22, 23, 13. The following table summarizes this: x p(x) -2 -4 3 10 .11 21 a. Find the probability that X>0. b. Calculate the expected value ex of X 5 22 c. Calculate the expected value ex2 of x² d. Calculate the variance of X e. Calculate the standard deviation of X f. Calculate the variance of 4X 9. Paste your R script in the box below. -6 7 23 13
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