Suppose that X has a discrete distribution with the following cumulative distribution function 0.35 F(x) = If P(4 < X < 6) = 0.2, then a = O 0.45 None of these 0.55 0 0.15 a 0.55 for x < 1 for 1 ≤ x < 4 for 4 ≤ x < 6 for 6 ≤ x < 7 x ≥7 for
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- I'll ask follow up the next subparts. please indicate what number and answer thank you!18 Determine whether the following is a valid distribution function F(X) = 1-ex2 for x20 elsewhereVerify that the following function is a cumulative distribution function. 0 no-fari F(x) = 1 x < 1 0.5 1Distribution function is as follows: [0.01x² -4The mean u for the continuous uniform distribution defined on the interval [2, 8] is 5. O false O truePlease see attached image...The following function is a cumulative distribution function. x < -10 0.1510STAT 202: Individual Assignment x>0 1. Given the Gamma distribution as f(x) =- elsewhere Find the mean and variance of the distribution. 2a. Suppose that a large conference room for a certain hotel can be reserved for no more than 4 hours. However, the use of the conference room is such that both long and short conferences occur quite often. In fact, it can be assumed that length X of a conference has a uniform distribution on the interval [0, 4]. i. Determine the probability density function ii. What is the probability that any given conference last at least 3 hours? b. A cement wholesale distributor has a large store that hold fixed supplies and are filled every Sunday. Of interest to the wholesaler is the proportion of this supply that is sold during the week. Over many weeks of observation, the distributor found out that this proportion could be modeled by a beta distribution with a = 4 and ß = 2 . Find the probability that the wholesaler will sell at least 90% of his stock in a…Not sure how to answer questions C through E. Suppose that X has a (continuous) uniform distribution between 10 and 20 (a) Compute E (X). (b) Compute Var (X). (c) Compute P (X < 12). (d) Compute P (X > 12). (e) Compute P (X < 8 or X > 22).Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON