Suppose that X follows a b(x; 9, 0.25) distribution. Calculate: (a) P(2 ≤X ≤3) (b) P(X > 2)
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- 3 Determine whether the following is a valid distribution function F(X) =1-e2 for x2 0 elsewhereLet X have a distribution N(2,4). Calculate P(|x| = <1.2) and P((x| = <11.6) and determine such x for which (a) P(X=Distribution function is as follows: [0.01x² -4The duration, x, of a monthly faculty meeting is uniformly distributed between 30 and 80 minutes. Which of the following statements is true? (choose all that apply). a. Prob (x>80) = 0 b. Prob (x<85) = 1 c. Prob (x>35) = 1 d. Prob (x <30) < 0A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week for which 777 randomly selected fatal bicycle accidents occurred. At. α=0.10, can you reject the claim that the distribution isuniform? Complete parts a through d below.Q10Using the joint distribution describing X and Y, the following formula was derived E(XKym) = 2km+3(m+k)+4 (k+1)(k+2)(m+1)(m+2) where k and m are both nonnegative constants. Simplify Var( 2X - 3Y) [ Select ] - Var(X) [Select] [ Select ] Var(Y) [Select] [ Select ] Cov(X,Y)Let X have pdf = { (a) Determine the distribution function Fx (x), by firstly finding k. fx kr(1-x), 0≤x≤ 1; otherwise.d,eSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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