QuestiorLet X and Y be random variables with the following joint probability function11 0.10 0.10 0.05y 2 0.15 0.10 0.0533 0.20 0.054 0.15 0.05Compute fy(y), fx(x) and probabilities P(X = 3), P(Y = 1) and P(Y < 2).%3D

Given, XY 1 2 3 Totals 1 0.10 0.10 0.05 0.25 2 0.15 0.10 0.05 0.3 3 0.20 0.05 0 0.25 4…

Answered: Questior Let X and Y be 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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Let X and Y be two discrete random variables with a joint probability distribution given by Y 1 Y 0.03 0.15 Y 50.2 X-0 X-2 0.02 0.2 X-4 0.1 0.1 0.15 0.05 Then P(X+ Y <7) = None of these 007 O 0.15 0.42
The random variable x has the following discrete probability distribution. x p(x) 10 0.3 11 0.3 a. Find P(x ≤ 12). P(x ≤ 12) = 12 0.2 13 0.1 14 0.1 Since the values that x can assume are mutually exclusive events, the event (x s 12) is the union of three mutually exclusive events, (x=10)U(x=11)U(x= 12). Complete parts a through e. CID
Let A(0) = $100 and A(1) = $110. Also let S(0) = $25, and suppose that the random variable S(1) has the following distribution: S(1) = $30 with probability p $20 with probability 1-p for 0 < p < 1. A portfolio consists of 10 shares of A and 50 shares of S. Find the forward price F of a forward contract on buying one share of stock S with delivery date at t = 1.
1. The random variables X and Y describe the outcome of two independent tosses with a dice. Let Z = X+Y be the sum of the results. Determine (a) The probability distributions for X, Y and Z. (b) H(X), H(Y) and H(Z). (c) H(YX), H(Z|X) and H(X|Z). (d) I(X;Y) and I(X; Z).
A- Let x be a discrete random variable with probability distribution function f(x)=k( x2 +20) and x= −1,1,2,3. Find the value of k. Find the Variance of X. B- Let x denote a discrete random variable which can take the values −2,0, and 5. Given that the expectation of X is 8/100 and P(X=−2)=8/20 , find P(X=5).
Let X and Y be two discrete random variables with the joint probability distribution is given by: Y= f(x.y) 2 1/6 1/3 1/12 X= 1/6 1/12 2 0 1/6 Then E ([(X + 2Y)®]) is equal to: None of these 147/12 57/6 281/12
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
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5. Let X and Y be discrete random variables with the following joint probability function. Y f(x,y) = P(X=x,Y=y) 4 0.15 7 0.25 4 0.4 7 0.2 X 2 2 11 11 (a) Is the above a valid PMF? Verify (b) Using the table above find the expected value of X, E[X]. (c) Using the table above find the expected value of Y, E[Y]. (d) Using the table above find the expected value of XY, E[XY]. (e) Determine the covariance of XY, note Cov(X, Y) = E[XY] - E[X] * E[Y].
Let X be a discrete random variable with probability mass function given in the following table: -3 -10 1.5 2.5 p(x) | 0.1 0.2 0.4 0.1 0.2 Find the following probabilities: (i) P(X > 0) = (ii) P(-3 < X < 1.5) = (iii) P(X # 0) =

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Questior Let X and Y be random variables with the following joint probability function 3 1 0.10 0.10 0.05 y 2 0.15 0.10 0.05 3 0.20 0.05 1 4 0.15 0.05 Compute fy(y), fx(x) and probabilities P(X = 3), P(Y = 1) and P(Y < 2).