Part II: Sections 2.1- 2.7 8. Assume that X is a geometric random variable with p=0.32. (a) Compute P(X > 13|X > 3). (b) Compute E(X²).
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- (41) Let X be a random variable with p.d.f. ((k +4) 0Random variables X and Y have CDF Fx(x) and Fy(y). Is F(x, y) = Fx(x)Fy(y) a valid CDF? Ex- plain your answer.I just want the correct answer (A or B or C or D)I do not want the solution steps in the answer(54) Let X be a random variable with p.d.f. ((k +4)(x+2) f(x) =- 0I am struggling with this problem because I don't understand it can you do it step by step and can you label the parts as well.The pdf of a random variable X is given by 5,4) - K fx (x) : aA random walk (RW) {Sn}n>o is a sum of id r.v.s X1, X2, •• , Xn,withP(X1 = a) = p, P(X1 = b) = 1 -p= q.Find the expectation E(Snl and variance var(Sn) of Sn for any n.Part II: Sections 2.1-2.7 6. Let X be a binomial random variable with n = 20 and p= 0.75. What is the moment generating function of X? No work (a) is required for this part. (b) bilities, compute Using the attached table of cumulative binomial proba- P(X < 12).Let Y be a discrete random variable with generating function 4 Gy (s) 6 - s What is E(Y) (in decimal)? Answer:5 Calculate XkYk for the n = 5 data points (×₁,Y₁ ) = (2,4), (×2,Y₂) = (3,5), (×3,Y3) = (4,8), (×4,Y4) = (5,10), and k=1 (X5,5) = (6,14). 5 Σ xxYk = [ k=1 (Simplify your answer.)A random variable X has a N(0,1) distribution. Use the moment generating function of X to compute (a) the third and (b) fourth moments of X, i.e., E(X³) and E(X4).Let X be a random variable taking positive values and assume that E(X) exists. Which of the following statements are true? • (i) E(X*) > (E(X))*. • (ii) E(1/X²) > 1/E(X²). • (ii) E(e-3X) > e°SEE MORE QUESTIONSRecommended 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