2. Random variable G is known to be exponential (2) and is known to have >2. 500 samples of the random variable are averaged together producing an average (sample mean) of 0.2. a. Taking the worst-case variance, what is the confidence coefficient (probability) that HG lies between 0.15 and 0.25? b. Using the estimate of the mean to estimate the variance, what is the confidence coefficient (probability) that µg lies between 0.15 and 0.25? c. Using the worst-case variance, but assuming that the sample mean is Gaussian, what is the confidence coefficient (probability) that µg lies between 0.15 and 0.25?

2. Random variable G is known to be exponential (2) and is known to have >2. 500 samples of the random variable are averaged together producing an average (sample mean) of 0.2. a. Taking the worst-case variance, what is the confidence coefficient (probability) that HG lies between 0.15 and 0.25? b. Using the estimate of the mean to estimate the variance, what is the confidence coefficient (probability) that µg lies between 0.15 and 0.25? c. Using the worst-case variance, but assuming that the sample mean is Gaussian, what is the confidence coefficient (probability) that µg lies between 0.15 and 0.25?

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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