Suppose that the random variable X has the continuous uniform distribution f 1,0 ≤ x ≤ 1 0, otherwise f(x) = Suppose that a random sample of n = 8 observations is selected from this distribution. What is the approximate probal distribution of X - 7? Find the mean and variance of this quantity.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose that the random variable X has the continuous uniform distribution
f 1,0 ≤ x ≤ 1
0, otherwise
Suppose that a random sample of n = 8 observations is selected from this distribution. What is the approximate probability
distribution of X - 7? Find the mean and variance of this quantity.
Note: Answer can be input as a fraction.
Normal
f(x) =
distribution with mean = -6.5
and variance 0.01062
Transcribed Image Text:Suppose that the random variable X has the continuous uniform distribution f 1,0 ≤ x ≤ 1 0, otherwise Suppose that a random sample of n = 8 observations is selected from this distribution. What is the approximate probability distribution of X - 7? Find the mean and variance of this quantity. Note: Answer can be input as a fraction. Normal f(x) = distribution with mean = -6.5 and variance 0.01062
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