# The Mean and Method of Moment Estimate of Uniform Distribution

Please see the attached file for probability questions.

1. Consider the probability density function for the uniform distribution on the range (a,b),

b > a,

fx (x) = (b - a)^-1, a < x < b.

a) Sketch the probability density function fx (x).

b) Derive the mean of the distribution in terms of a and b.

c) Given a random sample of n observations, x_1, x_2,...,x_n from this distribution, complete the following.

i) Assume that a = 0. Use the method of moments to find an estimate for b.

ii) Assume that a = -b. Use the method of moments to find an estimate for b.

https://brainmass.com/math/probability/probability-mean-method-moment-estimate-uniform-distribution-595493

#### Solution Summary

The solution gives detailed steps on finding the mean and method of moment estimate of uniform distribution.

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