Let X be a random variable with mean= 5 and SD = .5  a) Use the Chebychev inequality to estimate Pr(3 less than or equal to X less than or equal to 5) b) If X were normally distributed, what would be the excat probability that X is between 3 and 5 inclusive? c) Reconcile the difference between the answers a and b

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 9ECP: A random number generator selects two integers from 1 to 30. What is the probability that both...
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Let X be a random variable with mean= 5 and SD = .5 

a) Use the Chebychev inequality to estimate Pr(3 less than or equal to X less than or equal to 5)

b) If X were normally distributed, what would be the excat probability that X is between 3 and 5 inclusive?

c) Reconcile the difference between the answers a and b

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