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a. Find the probability that x² > 15. 0.75 b. Calculate the expected value ex of X 4.65 c. Calculate the expected value ex2 of X² 24.25

a. Find the probability that x² > 15. 0.75 b. Calculate the expected value ex of X 4.65 c. Calculate the expected value ex2 of X² 24.25

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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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 .15, .10, .20.20, .20, .15. The following table summarizes this: Answer the following using R code. X p(x) 2 3 4 .15 .10 .20 5 .20 6 7 .20 .15 a. Find the probability that x² > 15. 0.75 b. Calculate the expected value ex of X 4.65 c. Calculate the expected value ex2 of X² 24.25
Transcribed Image Text:Let X be a discrete random variable that takes on the values 2, 3, 4, 5, 6, 7 with respective probabilities .15, .10, .20.20, .20, .15. The following table summarizes this: Answer the following using R code. X p(x) 2 3 4 .15 .10 .20 5 .20 6 7 .20 .15 a. Find the probability that x² > 15. 0.75 b. Calculate the expected value ex of X 4.65 c. Calculate the expected value ex2 of X² 24.25
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