Find expected value mean of the random variable X using any method

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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Find expected value mean of the random variable X using any method
6.
Use the discrete probability distribution below to answer a-d:
X
0
1
2
3
P(x)
0.630
0.315
0.00291
a) Find P(2) and fill in the table.
b) This particular probability distribution also happens to be binomial, with p=, n = 3). Verify your
answer to (a) by using the formula for binomial probability. Show your formula and calculation.
c) Find the expected value (mean) of the random variable x using any method. (hint: it is binomial)
d) Find the standard deviation of the random variable x using any method. (hint: it is binomial)
Transcribed Image Text:6. Use the discrete probability distribution below to answer a-d: X 0 1 2 3 P(x) 0.630 0.315 0.00291 a) Find P(2) and fill in the table. b) This particular probability distribution also happens to be binomial, with p=, n = 3). Verify your answer to (a) by using the formula for binomial probability. Show your formula and calculation. c) Find the expected value (mean) of the random variable x using any method. (hint: it is binomial) d) Find the standard deviation of the random variable x using any method. (hint: it is binomial)
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