TABLE 13.6Let X and Y be two random variables eachX-1tuking three values -1, 0 and 1, and having the joint probabilitydistribution as given in Table 13-6.YObiain the marginal probability distributions of X and Yand hence their expected values.•2•2-21-

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Answered: TABLE 13-6 Let X and Y be two random…

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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Let random variable X be the number of users communicating with a cellular base station within a given time interval. Its PMF is :
W is a random variable with probabilities for w= 0,1 P(W = w) = {2h + k for w= 2 %3D 3k for w= 3,4 7 find the values of h and k. 10 (а) If P(W <2) = (b) Construct a probability distribution table for W. 4.
5 Both K and M has standard normal distribution and they are independent random variables. Z=K+M Find E[K(K^2+M)^(1/4)].
In game of roulette, a player can bet on the 1/38 probabilty of metal batt landa on 1the player gets to keep the paid to play the game and the player is awarded an additional 140 Otherwise, the player is awarded nothing and the casino takes the player's $4. Find the expected value E(x) to the player for one play of the game to player in a game of chance, then E(x) is negative. This value gives the average amount the player can expect to lose.
Consider a random variable V modeling the version of the software that people have installed on their computers, where the possible versions are {1, 2, 3, 4}. People are equally likely to have versions 1 and 2 and also equally likely to have versions 3 and 4. People are also x times more likely to have version 3 than version 2. (a) What is the (probability mass function) PMF of V as a function of x (b) What is the expected version of the software. Hint: the expected value of V as a function of x (c) What is the minimum value of x to ensure that the mean version is at least version 3?
2b)
2. We have two fair dice, one red and one blue. When we roll them together, the outcome can be shown as an order pair, (R, B) where R and B are numbers from the red and the blue die, respectively. Let X be a random variable defined by X(R, B) = R - B where R and B are numbers from red and blue dice, respectively. (a) What is the probability mass function for the random variable? Show that as a table.
Let x be a poisson random variable with mean = 6.5. Find the probabilities of x using the poisson formula. A) P(x=0) B) P(x=1) C) P(x=2) D) P(x
Assume that a random variable Y has a mean of zero and standard deviation of one. Calculate the expected value of X1 and X2 if they are defined as below. X1 = Sigma+ Mu X2 = Sigma(Y+Mu)
According to a study by Weight Loss R US of their live-in weight loss program, the people who follow his program lose between 6 and 14 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Suppose it is known that the individual lost more than ten pounds in a month. Find the probability that he lost less than 10 pounds in the month. (round your answers to 4 decimals.)
X has been defined as the Poisson random variable. Thus, P (X = 1) = 0.149 and P (X = 2) = 0.224 are given. Find out what the probability P (X = 0) is.
A delivery truck travels from point A to point B and back using the same route each day. There are four traffic lights on the route. Let X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by

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TABLE 13-6 Let X and Y be two random variables each X -1 ! luking three values -1, 0 and 1, and having the joint probability distribution as given in Table 13.6. Y -- 1. Obtain the marginal prvbability distributions of X and Y and hence their expected values. •2 •2 1.