The following are some applications of the Markovinequality of Exercise 29:(a) The scores that high school juniors get on the verbalpart of the PSAT/NMSQT test may be looked upon asvalues of a random variable with the mean μ = 41. Findan upper bound to the probability that one of the studentswill get a score of 65 or more.(b) The weight of certain animals may be looked uponas a random variable with a mean of 212 grams. If noneof the animals weighs less than 165 grams, find an upperbound to the probability that such an animal will weigh atleast 250 grams.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 9EQ
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The following are some applications of the Markov
inequality of Exercise 29:
(a) The scores that high school juniors get on the verbal
part of the PSAT/NMSQT test may be looked upon as
values of a random variable with the mean μ = 41. Find
an upper bound to the probability that one of the students
will get a score of 65 or more.
(b) The weight of certain animals may be looked upon
as a random variable with a mean of 212 grams. If none
of the animals weighs less than 165 grams, find an upper
bound to the probability that such an animal will weigh at
least 250 grams.

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