Let X1, X2,..., X15 be independent identically distributed N(4.5, 0.88) random variables, with an average X. (a) Calculate P(4.2 < X < 4.9) = (Give your answer to 3 decimal places) (b) Find the value of c for which P(4.5 – c < X < 4.5+c) = 0.99. c = (Give your answer to 2 decimal places)

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter5: Inner Product Spaces
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Let X1, X2,..., X15 be independent identically distributed N(4.5, 0.88) random variables, with an average X.
(a) Calculate P(4.2 < X < 4.9) =
(Give your answer to 3 decimal places)
(b) Find the value of c for which P(4.5 – c< X < 4.5 + c)
= 0.99.
C=
(Give your answer to 2 decimal places)
Transcribed Image Text:Let X1, X2,..., X15 be independent identically distributed N(4.5, 0.88) random variables, with an average X. (a) Calculate P(4.2 < X < 4.9) = (Give your answer to 3 decimal places) (b) Find the value of c for which P(4.5 – c< X < 4.5 + c) = 0.99. C= (Give your answer to 2 decimal places)
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