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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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 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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