A continuous random variable X has the following density function:
b. A density function such as this one is called a uniform density, or sometimes a rectangular density. It is extremely easy to work with because probabilities for intervals can be found as areas of rectangles. For example, find PU (X ? 4.5 | Min = 3; Max = 5). (The parameters Min and Max are used to denote the lower and upper extremes, respectively.)
c. Find the following uniform probabilities:
e. The expected value of a uniform distribution is E (X Þ = (Min + Max) = 2, and the variance is Var (X) = (Max ? Min) 2 = 12. Calculate the expected value and variance of the uniform density with Min = 3; Max = 5.
This question was answered on: Jul 11, 2017
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