X is the binomial (5, 0.5) random variable. a) Find the standard deviation of X. b) Find P[μx − σx ≤ X ≤ μx + σx], the probability that X is within one standard deviation of the expected value?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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X is the binomial (5, 0.5) random variable. a) Find the standard deviation of X. b) Find P[μx − σx ≤ X ≤ μx + σx], the probability that X is within one standard deviation of the expected value?

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