The weight of frogs in grams in a marsh population are normally distributed with unknown mean (u) and standard deviation (0) = 1 gram. What is the probability that the mean (X) of a random sample of 4 frogs lies within one gram of the true mean (u)? Round your answer to three 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
Section13.3: Special Probability Density Functions
Problem 8E
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The weight of frogs in grams in a marsh population are normally distributed with
unknown mean (u) and standard deviation (0) = 1 gram. What is the probability that
the mean (X) of a random sample of 4 frogs lies within one gram of the true mean
(u)? Round your answer to three decimal places.
Transcribed Image Text:The weight of frogs in grams in a marsh population are normally distributed with unknown mean (u) and standard deviation (0) = 1 gram. What is the probability that the mean (X) of a random sample of 4 frogs lies within one gram of the true mean (u)? Round your answer to three decimal places.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,