et x be a binomial random variable with n = 20 and p = 28 / 100. a-)Calculate the mean, variance and standard deviation of the random variable x. b-)Use the results of part d to calculate the intervals µ ± σ, µ ± 2σ, and µ ± 3σ. Find the probability that an observation will fall into each of these intervals. c- Are the results of part e consistent with Tch
et x be a binomial random variable with n = 20 and p = 28 / 100. a-)Calculate the mean, variance and standard deviation of the random variable x. b-)Use the results of part d to calculate the intervals µ ± σ, µ ± 2σ, and µ ± 3σ. Find the probability that an observation will fall into each of these intervals. c- Are the results of part e consistent with Tch
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Let x be a binomial random variable with n = 20 and p = 28 / 100.
a-)Calculate the mean, variance and standard deviation of the random variable x.
b-)Use the results of part d to calculate the intervals µ ± σ, µ ± 2σ, and µ ± 3σ. Find the probability that an observation will fall into each of these intervals.
c- Are the results of part e consistent with Tchebysheff’s Theorem? With the Empirical Rule? Why or why not?
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