Let X1,..., X16 be an independent trials process of continuous random variables with common mean 9 and common variance 400. Let S16 be their sum and A16 be their average. Use the Central Limit Theorem to estimate the following: P(-6.39999999999998 < S16 < 175.2). P(-0.300000000000001 < A16 < 13.25). (give your answer to four decimal places) # (give your answer to four decimal places)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Let X1,..., X16 be an independent trials process of continuous random variables with common mean 9 and common variance 400.
Let S16 be their sum and A16 be their average.
Use the Central Limit Theorem to estimate the following:
P(-6.39999999999998 < S16 < 175.2).
P(-0.300000000000001 < A16 < 13.25).
(give your answer to four decimal places)
#
(give your answer to four decimal places)
Transcribed Image Text:Let X1,..., X16 be an independent trials process of continuous random variables with common mean 9 and common variance 400. Let S16 be their sum and A16 be their average. Use the Central Limit Theorem to estimate the following: P(-6.39999999999998 < S16 < 175.2). P(-0.300000000000001 < A16 < 13.25). (give your answer to four decimal places) # (give your answer to four decimal places)
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