If X is A discrete random variable and f(x) is the probability of X, then the expected valueof this random variable is equal to:a. E[x+f(x)]O b. Ef(x)O c. Ef(x)+xO d. none of the above

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Answered: If X is A discrete random variable and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. Suppose you purchase box after box until you have obtained two of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? O h(x; 2, 0.1) O nb(x; 2, 0.1) O b(x; 2, 0.1) O h(x; 2, 1, 10) O b(x; 2, 1, 10) O nb(x; 2, 1, 10) (b) What is the probability that you purchase four boxes? (Round your answer to four decimal places.) (c) What is the probability that you purchase at most four boxes? (Round your answer to four decimal places.) (d) How many boxes without the desired prize do you expect to purchase? How many boxes do you expect to purchase?
The random variable Z is defined as a function of the random variables X and Y as follows: Z = 1 Moreover, it is known that E[X|Z] = Z² and that Z is zero mean. Compute E[Y|Z = 2] Y+1 and E[Y].
assume that Pr[A] = 0.45, Pr[B] = 0.35, and Pr[A n B] = 0.25. Compute the following conditional probabilities: (1) Pr[A|B] = (2) Pr[B|A] =
Let X be a random variable. Which of the following statement is INCORRECT? If V (X) = 0, then there exists an x, such that Pr(X = x) = 1. There are cases that V(X) does not exist. By the definition of the random variable, the range of X is a subset of R; therefore, there must exist at least one x such that Pr(X = x) > 0. If Pr(X = 1) (E(X))².
Let E and F be events in an experiment. If P(E|F)=0.5, P(E|F')=0.2 ,and P(E∩F')=0.1, find P(F) and P(E).
Ex. A lottery ticket with two equally likely outcomes:(1) You win $2 (2) You win $0Let W be the amount won from the lottery. E[W] = 1VAR(W) =???
For any event A, P (A U A) = 1 True or false, I.
For any two random variables X and Y, Var(X) ≥ E[Var(X|Y)]. O TRUE O FALSE

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If X is A discrete random variable and f(x) is the probability of X, then the expected value of this random variable is equal to: Ο a Σx+f{x)] O b. Ef(x) O c. Ef(x)+x O d. none of the above