An exponential population has parameter λ = 0.012 (hence, μ= 83.33, σ2= 6944.44).What is the probability that a random sample of 41 from this population will average between 81 and 84?
A) 0.5199
B) 0.0160
C) 0.0000
D) 0.0913

Question

Quizplus · Accepted Answer

The sample mean follows a normal distribution with mean μ = 83.33 and standard deviation σ/√n = √6944.44/√41. Using the standard normal distribution, the probability that the sample mean is between 81 and 84 is approximately 0.0913.

An Exponential Population Has Parameter λ = 0