Question

15 LI Problem 17 (worth 5 points max). Consider a variable that is uniformly distributed between 0 and 40. What is the probability that this variable will take on a value less than or equal to 15? Type in the correct answer from those listed below (i.e., type in the number associated with your answer, "1", or "2," or "3," etc.) in your Excel spreadsheet, and in a sheet of paper show/explain your work for arriving at your chosen answer (what you should do here is proceed as in the work/explanations developed in the practice homework). 1. 0.3926 2. 0.3750 3.0.3552 4. 0.3446 5. None of the above

Answer 1

Given that the variable is uniformly distributed in the interval o to yo. let the variable is x, then the pmf of x is given by f(x) = 7 for 0 < x240 = 0 elsewhere. E. The uniform distribution in the interval [a,b] is given by f(x) = ut for azerb o elsewhere? Now, probability of the take a value less than - P(x< 15) variable will or equal tols = js Led [: P(xsx) = 1 n an] u - DD - 0.3750 Ans: D