If the joint probability distribution of X and Y is given by * x+y f(x,y) : ,for x = 0,1,2,3; y = 0,1,2. Find P(X + Y = 4) 30 f (x, y) 1 2 3 1 2 3 30 1 30 3 2 30 4 Y 1 30 3 4 2 30 30 30 30 3/5 7/30 4/15 none of the choices

Q: Suppose that the unknown Xis uniformly distributed between 0 and 2.  What is the expected value

A: Let X follows uniformly distributed between 0 and 2. That is, a=0,b=2 The expected value of the…

Q: 1. If the joint probability is given by: x+ y f(x, y) = 30 for r = 0,1,2, 3; y = 0, 1, 2, Find: (a)…

A: As per our guidelines,we are allowed to answer first three sub-parts only. Thanks   a) P(X≤2,Y=1) =…

Q: Question * Suppose X, Y are two discrete random variables with probability function given by: Y\ x…

A: XY -1 0 1 Total -1 1/10 0 2/10 3/10 0 2/10 1/10 1/10 4/10 1 0 2/10 1/10 3/10 Total 3/10…

Q: Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3)…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: If she rolls a six-sided, fair die to make her decision and selects the company depending on what…

A: Define some events Ai : She invests in Company i,  i = 1,2,3,4,5,6 E : She makes a good investment

Q: Suppose the joint probability distribution of X and Y is given by f(x,y) = x+y , for x 2, 3, 4, 5; y…

A:

Q: 11. The joint probability distribution of the random variables X and Y is f(x, y). Find the…

A: Joint probability density function explain the probability occurrence of two variance. Marginal…

Q: If the joint distribution function of X and Y is given by F(x,y)=1-e* -e +e**); x, y>0. Are X and Y…

A:

Q: If "X" is Poisson yandom variable with pavametev u = 3, find the pro babilities for X= 0, 1,2, ?3,4…

A: Given: Poisson parameter = u= 3 to find: probability when x=0,1,2,3,4 or more

Q: 1. If the joint probability distribution of X and Y is given by f(x,y)= **Y for x=0,1,2,3; y=0,1,2,…

A: XY 0 1 2 3 Total 0 0 130 230 330 630 1 130 230 330 430 1030 2 230 330 430 530 1430…

Q: 15. Let Y be a r.v. having the geometric distribution with probability function (1-ey-10. y-1,2,3, -…

A: Find  MLE, E(Y) and P(Y≥4)=?

Q: Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3)…

A: Given that Joint probability distribution function of X and Y (x,y) (1,1) (1,2) (1,3) (2,1) (2,2)…

Q: Question Suppose X, Y are two discrete random variables with probability function given by: YX-1 1/9…

A:

Q: A class with 5 students has 3 juniors and 2 seniors. A group of 3 students is selected at random.…

A: Solution

Q: 5. If X and Y have the joint probability distribution f(x, y)=1/4, for x=-1and y=-1,x=-1 and y=1,x=1…

A: Given: fx,y=14=0.25 The joint probability function is shown below     X     -1 1 Y -1 0.25…

Q: Q3// let X and Y have the joint probability distribution function as : . (х, у) (1,1) (1,2) (1,3)…

A:

Q: The random variable Xhas probability distribution defined as follows. x=2,3, 4, 5, P(x=x) =…

A: As per bartleby guidelines only one question should be answered once, please upload each questions…

Q: 5. and Y is The joint probability distribution function of two discrete random variable |x -y| 15…

A:

Q: 1. Calculate the mean u, second moment u, and the variance o of the random variable X, that has the…

A:

Q: 2. Consider the probability distribution on the next slide and prove that:. a. E (; x) = ¿E(X) b. V…

A: Joint Probability Distribution: Let X and Y be two discreate random variables defined over the…

Q: 1-The joint distribution of X and Y is: PX,Y(0,0)=1/25, PX,Y(0,1)=a, PX,Y(0,2)=2/25 PX,Y(1,0)=a,…

A: Hello there! according to our honor code can answer only one question at a time. As you have not…

Q: 3- Suppose that X and Y are independent and X,Y~ N(0,0²). Show that U and V are independent with…

A: Suppose W, Z ~i.i.dN0,1.  The joint probability distribution of W and Z can be written as follows:…

Q: 7. The probability mass function (PMF) is expressed as PMF = P(X = k) = - k(k +1) म्कग ,k =1,2,..,0…

A:

Q: 1. If the joint probability distribution of X and Yis given by f(x, y) x+y for x = 0,2,3; y = 0,1,2…

A: Given : The joint probability distribution function isf(x,y)=x+y30

Q: 5. An automobile dealer has found that X, the number of cars customers buy each week, follows the…

A: The given function is: f(x)=kx2x!,x=1,2,3,40,       Otherwise

Q: 3. The following table lists the probability function of the discrete variables (X, Y). Known that…

A:

Q: If the distribution function of X is given by for x <2 for 2sx<3 36 for 3sx<4 for 4sx <5 36 for 5 sx…

A: A discrete random variable has only discrete values which can be counted. For example a random…

Q: The joint p.m.f of (X,Y) is given by P(x, y) = 2x + 3y), x =,1,;02y = ,13,.2.Find the marginal…

A:

Q: Pr(Y) 0.5 We know X and Y are independent, so Pr(XIY) = Pr(X) and vice versa, Pr(YIX) = Pr(Y) for…

A: The formula for correlation for X and Y is, CorX,Y=CovX,YVarXVarY Then the formula for covariance…

Q: 4. [Maximum mark: 5] In a class of 24 students, 12 study French, 8 study Spanish, and 8 do not study…

A: (a) Total = No. of students who study French only + No. of students who study Spanish only + No. of…

Q: Let X be a discrete ramdom Variable. whose probability distribution is defined as follows- p(X=x)=…

A: Given the distribution

Q: The independent RVs X and Y have distributions N(45, 2) and N(44, 1.5) respec. tively. What is the…

A:

Q: = cx and 0<X <4, dd: 0 is a continuous probability distribution, * which of the following options is…

A: We have to find correct answer from given options...

Q: 4. Determine the values of c so that the following functions represent joint probability…

A: The objective is to find the value of by representing each function as a joint probability…

Q: 5. Suppose that a coin is tossed twice so that the sample space is S = {HH, HT, TH, TT}. Let X…

A: Solution-: We haveS={HH,HT,TH,TT}  Let, X -be the number tails that can come up We find the pdf and…

Q: If the joint probability distribution of X and Y is given by * f (x, y) x+y for x = 0,1,2,3; y =…

A: