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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