Question

Let the random variable X have a discrete uniform distribution on the integers 1 ≤ x ≤ 7. Determine the mean, μ, and variance, σ2, of X. Round your answers to two decimal places (e.g. 98.76). μ = σ2 =

Answer 1

This is a uniform distribution with


Since we know that
Probability density function of a uniform distribution is


This implies that
Cummulative density function of a uniform distribution is


a)Since we also know that
Mean of a uniform distribution is the average of its interval i.e.


b) Also


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