Question *Let X and Y be two random variables such that Cov(X,Y)= -3 . Thencov(5X+3,-2Y-2)=-20cov(-3X+5,-3Y+5)=-18cov(3X+5,-2Y+5)=18None of these

Given : Let X and Y be two random variables such that Cov(X,Y) = -3.

Answered: Question * Let X and Y be two random…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q4/ Suppose there are two machines (A, B) in a factory, both producing chairs. Machine A produce twenty percent of their chairs and Machine B produce eighty percent of their chairs. fifteen percent of the chairs come from Machine A are defective and ten percent of the chairs come from Machine B are defective. If a chair is chosen randomly and found to be defective, what is the probability that it came from machine B?
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 34. Is a result of 2 peas with green pods a result that is significantly low? Why or why not?
A docs.google.com/forms/d/e (1) Let X be a random variable with p.d.f. fx) =- , then O.w (b) k- (0) k = (a) k=1 (d) k-5 (e) None of these a is the correct answer b is the correct answer c is the correct answer d is the correct answer e is the correct answer (2) Let X be a random variable with a function x= 0,1, 2,3 4 x! (3-x)! f(x) = , then p(x<1) is 0.w (b) (d) (e) None of these 27 (a) 27 (c) 27 a is the correct answer b is the correct answer c is the correct answer d is the correct answer e is the correct answer
Urn A contains x red marbles and y white marbles, and urn B contains z red marbles and v white marbles. (i) If an urn is selected at random and a marble drawn, what is the probability that the marble is red? (ii) If a marble is drawn from urn A and put into urn B and then a marble is drawn from urn B, what is the probability that the second marble is red?
20
An urn contains 4 red, 4 blue, 4 green marbles Three marbles are drawn with replacement (put marble back in before drawing the next one). Let X be the random variable representing the number of green marbles drawn . Compute the probabilities : ( a) Pr X=0) (b) Pr X=1) (c) Pr * (X = 3)
Consider two urns: Urn-1 contains 3 red, 2 black and 4 white balls while Urn-2 contains 4 red, 4 black and 3 white balls. An urn is randomly selected with equal chances of it being Urn-1 or Urn-2, and then a ball is picked at random from the selected urn. (a) Find the probability that either a white or a red ball is picked? Your answer correct up to four decimal places. (b) If the picked ball is NOT black, find the probability it came from Urn-2? Your answer correct up to four decimal places.
Give 7 other examples of random variables.
Suppose that X is a random variable * ? having the following m.g.f., Find Var(x) 7t_e4t M, (t) = eT 173 O 5 O 413 O 3148 O 55 O
In a factory, in a batch of 100 products, there are on average 3 of defected ones. Probability of having the first defected product at the 10th(10.) product in 100 products.
Question * Let X and Y be two random variables such that: Y = 75 – 3X – X², E(X²) = 12 and E(Y) = 54. suppose thatcov(X,Y) = -2, then E[(X + 1)2Y] = O None of these 160 428 66

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Question * Let X and Y be two random variables such that Cov(X,Y) =–3 . Then co(5X+3,-2Y-2)=-20 cov(-3X+5,-3Y+5)=-18 cov(3X+5,-2Y+5)=18 None of these