2. Given k(2x + 3y) if a_ 0.1.2: у-0, 1. plx,y) - is a joint probability mass function(discrete case). a. What is k? b. Find the momen generating function Mx(t) c. Find the conditional probabiliti...

Question

Question

2. Given k(2x + 3y) if a_ 0.1.2: у-0, 1. plx,y) - is a joint probability mass function(discrete case). a. What is k? b. Find

Answer 1

Answer #1

iven 巳 @j 따migaǐim 귄 mpreの 2l 沒! 干,3 fCx) M13 L(35) o2 下,行 ot X느 왁チ - 85 5X3 IST

Answer 2

Similar Homework Help Questions

C if 01.2-01 is a joint probability mass function(discrete ). a. What is ? Find the...

C if 01.2-01 is a joint probability mass function(discrete ). a. What is ? Find the w ing fiction MX(t) Find the conditional probabilities PYX) PYOXS1) PIXSIY
Find the probability generating function of a discrete random variable with probability mass function given by...

Find the probability generating function of a discrete random variable with probability mass function given by pX(k) = qk−1p, k = 1,2,..., where p and q are probabilities such that p + q = 1. We shall see later that this is called the geometric distribution function.
The joint probability mass function (p.m.f.) of the discrete random variables X and Y is given...

The joint probability mass function (p.m.f.) of the discrete random variables X and Y is given by 11/4 1/2 20 1/4 (a) Are X and Y independent? (b) Compute P(XY 1) and P(2X Y >1) (c) Find P(y > 1 | X = 1) (d) Compute the conditional p.m. f. of X given Y = 1

Determine the value of c that makesthe function f(x,y) = ce^(-2x-3y) a joint probability densityfunction over...

Determine the value of c that makesthe function f(x,y) = ce^(-2x-3y) a joint probability densityfunction over the range 0 < x and 0 < y < x Determine the following : a) P(X < 1,Y < 2) b) P(1 < X < 2) c) P(Y > 3) d) P(X < 2, Y < 2) e) E(X) f) E(Y) g) MARGINAL PROBABILITY DISTRIBUTION OF X h) Conditional probability distribution of Y given that X=1 i) E(Y given X = 1) j)...
Question 1(a&b) Question 3 (a,b,c,d) QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Det...

Question 1(a&b) Question 3 (a,b,c,d) QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Determine whether or not X and Y are independent. (9 marks) a) b) Find P(x> Y). Show how you get the limits for X and Y (6 marks) QUESTION 3 (19 MARKS) Let f(x, x.) = 2x, , o x, sk: O a) Find k xsl and f(x,...
Given f(x) = ( c(x + 1) if 1 < x < 3 0 else as a probability function for a continuous random variable; find a. c. b. The moment generating function MX(t). c. Use MX(t) to find the variance and...

Given f(x) = ( c(x + 1) if 1 < x < 3 0 else as a probability function for a continuous random variable; find a. c. b. The moment generating function MX(t). c. Use MX(t) to find the variance and the standard deviation of X.

variables X and Y have the following joint probability mass function: У p(x, y) -2 2...

variables X and Y have the following joint probability mass function: У p(x, y) -2 2 -1 .08 .02 .20 .40 х .12 .18 Find the variance of Y. Find the covariance of X and Y. Find P(X > Y|X +Y > -2).
(5 points) Suppose the joint probability mass function (pmf) of integer- Y ī PlX = í,ys j) = (i + 2j)o, for 0 í valued random variables X and < 2,0 < j < 2, and i +j < 3, where c is a con...

(5 points) Suppose the joint probability mass function (pmf) of integer- Y ī PlX = í,ys j) = (i + 2j)o, for 0 í valued random variables X and < 2,0 < j < 2, and i +j < 3, where c is a constant. In other words, the joint pmf of X and Y can be represented by the table: Y=2 |Y=0 Y=1 X=0| 0 2c 4c 3c 4c 5c X=21 2c (a) Find the constant c. (b) Compute...
Exercise 10.1. The joint probability mass function of the random variables (X, Y) is given by...

Exercise 10.1. The joint probability mass function of the random variables (X, Y) is given by the following table: 0 12 01 21 醋慹!) 죄 9 (a) Find the conditional probability mass function of X given Y -y. (b) Find the conditional expectation Elxy-y] for each of y = 0, 1, 2.

3. Use the probability generating function Px)(s) to find (a) E[X(10)] (b) VarX(10)] (c) P(X(5)-2) . ( 4.2 Probability Generating Functions The probability generating function (PGF) is a us...

3. Use the probability generating function Px)(s) to find (a) E[X(10)] (b) VarX(10)] (c) P(X(5)-2) . ( 4.2 Probability Generating Functions The probability generating function (PGF) is a useful tool for dealing with discrete random variables taking values 0,1, 2, Its particular strength is that it gives us an easy way of characterizing the distribution of X +Y when X and Y are independent In general it is difficult to find the distribution of a sum using the traditional probability...