n/forms/d/e/1FAWOKWy-OFrmBkWSLSfuM-c8JCYaEdyj84150Psuod:The joint probability distribution function of a discrete random variable isf(xy) = cx'/y for x-1, 2, 3 and y-1, 4, 16. c + oThen P(2

Answered: The joint probability distribution…

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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If the joint probability distribution of X and Y is given by * f (x, y) x+y for x = 0,1,2,3; y = 0,1,2. Find the marginal distribution of X 30 f(x, y) 1 2 3 1 2 3 30 2 30 30 3 4 Y 1 30 30 30 30 3 4 2 30 30 30 30 1 2 3 1 3 f(x) 1 1 3 2 f(x) 1 7 2 10 10 3. 15 If none of the choices, fill the table 1 2 3 |1 2 3 f(x) 1 3 2 f(x) - 10 3 15
Using 2 independent DRVS X and Y with probability distribution px(x) and py (y) below, find E(Z) where Z = X + Y X 1 2 3 4 Px(x) 1/8 3/16 3/8 3/16 1/8 Y 3 4 5 Py(y) 1/4 1/4 1/4 1/4
Question * The joint probability distribution function of a discrete random variable is fx.y) = cx y for x-1, 2, 3 and y-1, 4, 16. c #0 Then P(1 SX<3|Y 1)= %3D 13/14 6/7 3/7 5/14
Joint probability distribution: 1. 4 4 5 6 fxy(x,y) 1/8 1/4 1/2 1/8 O xy or the covariance= VX) = V(Y) =
If the joint probability distribution of X and Y is given by * x+y f(x,y) = for x = 30 0,1,2,3; y = 0,1,2. Find the marginal distribution of Y X f(x, y) 1 2 3 1 2 3 30 30 2 30 4 1 Y 30 2 30 3 30 4 30 2 30 30 30 30 Y 1 2 y 1 2 f(y) 1 1 3 f(y) 1 7 10 10 5 3 15 If none of the choices, fill the table Y 1 2 | 0 |1 |2 | 3 f(y) 1 3 f(x) - 10 3 15
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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
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2. The discrete random variable X has the probability function kx, P(X = x) = }k(x – 2), 0, x = 2,4,6 x = 8 otherwise Where k is a constant. (a) Show that k %3D 18 (b) Find the exact value of F(5).
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is given. y p(y) 0 1 0.50 0.35 0.10 0.05 USE SALT 3 (a) What is the probability that among 25 randomly chosen such individuals, at least 15 have no citations? (Round your answer to three decimal places.) (b) What is the probability that among 25 randomly chosen such individuals, fewer than half have at least one citation? (Round your answer to three decimal places.) What is the probability that among 25 randomly chosen such individuals, the number that have at least one citation is between 10 and 15, inclusive? ("Between a and b, inclusive" is equivalent to (a ≤ x ≤ b). Round your answer to three decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
Question 2: X ~ Geometric(T) distribution with probability function p(x) = P(X = x) = T(1 – 7)"-1 for x = 1, 2, 3, ... Find P(X x).

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The joint probability distribution f(x,y) = cx/y for x-1, 2, 3 and y-1, 4, 16. c + 0 Then P(2