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Let the random variable X have a discrete uniform distribution on the integers 0

ID: 3327908 • Letter: L

Question

Let the random variable X have a discrete uniform distribution on the integers 0 is less than or equal to x is less than or equal to 99. Determine the mean and variance of X. (Okay, I didn't actually cover this on the video. But it's a plug and chug set of formulas. Just look in Appendix A of your book (page 704), and you'll see how to plug in to calçulate mean and variance for uniform distribution, as well as many other types of distributions.) Netice that there are different formulas for mean and variance in relation to the DISCRETE uniform distribution as opposed to CUMULATIVE. Select one: . a. E(X) = 49.5, V(X) = 225 b, E(X) O 49.5, V(X) = 2,785 , c. E09-49.5, V09-674 d, E09 = 49.5, V(X) = 998 e, E(X) = 49.5, V(X) = 833.25

Explanation / Answer

Mean is calculated as (a+b)/2 or (0+99)/2=49.5

Variance is ((b-a)^2 )/12 =(99)2/12 =816.75