The cdf of a random variable Y is |1– exp(-0.4y), y 20 F,(y) otherwise Valuate P{2.5
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- Random variables X and Y are connected through pgf x(s) and Vy(s) by the relation x(s) = s¥y(/s) Which of the following relationships between their means is INCORRECT?. Select one: O a. x(s) = Vy(/s) + s¥½(/s)/(2/5) O b. EX = 1+EY/2 O c. EX = 2+ 2EY O d. EY = 2 – 2EXSuppose that X is a Normal random variable with E(X) = 1 and Var (X) = 1. Define Y =2X + 1. Find P(0 < Y < 2). Find the probability that Y is negative.What is the covariance for the joint distribution below right? Cov(X, Y) = -1 YO +1 -1 1/16 3/16 1/16 X 0 3/16 0 3/16 +1 1/16 3/16 1/16
- . Suppose X ~ N(2,3). What value of x has a z-score of -0.67?A random sample of size n1 = 15 is selected from a normal population with a mean of 75 and a standard deviation of 9. A second random sample of size n2 = 9 is taken from another normal population with mean 69 and standard deviation 15. Let X1 and X2 be the %3D two sample means. Find: (a) The probability that X - X2 exceeds 3. (b) The probability that 4.9 < X – X2 < 5.9. Round your answers to two decimal places (e.g. 98.76). (a) i (b)If is a random variable that has a uniform distribution on the interval [0, 10], then p(x+ 27) PX+ is equal to
- Given (x + 2y) ,0Suppose X is a random variable such that E(X) = 90 and Var(X) = 7. Compute thefollowing: E(4X + 12) Var(−X) SD(4X)E(X^2) E(X + 3)^2Z is the present-value random variable for a whole life insurance of b payable at the moment of death of (x). You are given: (i) (ii) 8 = 0.05 (iii) The net single premium for this insurance is equal to Var(Z). Calculate b. x+t = 0.01 t≥0 (A) 1.36 (B) 1.68 (C) 2.00 (D) 2.32 (E) 2.64Suppose that a medical test has a 85% chance of detecting a disease if the person has it (P(PT|D)=0.85) and a 90% chance of correctly indicating that the disease is absent if the person really does not have the disease (P(NT|Dc=0.90). Suppose that 95% of the population does not have the disease P(Dc)=0.95 What is the probability that a randomly chosen person will test negative P(NT)?Let Y < Y, < Y3 be the order statistic of a random sample of size 3 from the uniform distribution having pdff (x;0) = 1/0,0Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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