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 First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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