following table provides a probability distribution for the random variable x. x 8 f(x) 0.25 16 0.50 24 0.25

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 6E
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The following table provides a probability distribution for the random variable x.
f(x)
X
=
8
0 =
0.25
16 0.50
(a) Compute E(x), the expected value of x.
E(x)
24 0.25
(b) Compute 2, the variance of x.
0²=
(c) Compute σ, the standard deviation of x. (Round your answer to two decimal places.)
Transcribed Image Text:The following table provides a probability distribution for the random variable x. f(x) X = 8 0 = 0.25 16 0.50 (a) Compute E(x), the expected value of x. E(x) 24 0.25 (b) Compute 2, the variance of x. 0²= (c) Compute σ, the standard deviation of x. (Round your answer to two decimal places.)
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