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, 30 find a. P(Xs2,Y>1) b. P(X+Y=4)
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) =…
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Q: Page 164, 3.1.12.* Let X₁, X2, . . ., Xk-1 have a multinomial distribution. (a) Find the mgf of X₁,…
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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: Suppose f(x,y) = ry for 0<x<2, 0<y<2 then the mariginal probability distribution of X is 4
A: The marginal probability distribution formula of X is:
Q: Suppose the joint probability distribution of X and Y is given by f(x,y)= parts (a) through (d). (a)…
A: X=3 X=4 X=5 X=6 Total Y=4 7114 8114 9114 10114 34114 Y=5 8114 9114 10114 11114 38114…
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Q: 11. The joint probability distribution of the random variables X and Y is f(x, y). Find the…
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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: variables X and Y. Using this information answer the questions below. Y=2 4c 2c X=1 X=2 That is, P(X…
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Q: . Given that (x, y) = (2x+2y)/2k if x = 0,1 and y = 1,4, is a joint probability distribution…
A: Answer - Given that joint probability distribution function of x and y f(x,…
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…
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Q: Q3// let X and Y have the joint probability distribution function as : . (х, у) (1,1) (1,2) (1,3)…
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Q: Let. X have a uniform distribution on the interval (1,3). What is the proba- bility that the sum of…
A: Uniform distribution is widely used in statistics . It is very useful in modern times .
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Q: 6. [Maximum mark: 5] The following table shows the probability distribution of a discrete random…
A: Thank you 😊
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: 4. If X~ N3 (μ, E) where µ¹ = [2-3 1] and Σ = 1 3 2 | 1 2 2 then find the distribution of 3X1-2X2 +…
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Q: Let X1, X2.,X, are drawn from a geometric distribution with pmf p(x) = e(1-e)* -1, x = 1,2,3,..…
A: Solution: From the given information, The MLE of θ is
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A: Note: Hey, since there are multiple questions posted, we will answer one question. If you want any…
Q: 8. Let X1, X2 be i.i.d. random variables from a distribution with p.d.f xe r>0 fx(x) = otherwise and…
A: The distribution is given by, fX(x) = xe-xx>00Otherwise So, P(X≥x)=∫x∞fX(t) dt=∫x∞te-t…
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
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Q: 4. [Maximum mark: 5] In a class of 24 students, 12 study French, 8 study Spanish, and 8 do not study…
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Q: .Given that (x, y) = (x+2y)/k if x = -2,1 and y = 3,4, is a joint probability distribution function…
A: Note: Hi! Thank you for the question, As per the honor code, we are allowed to answer three…
Q: 3.38 If the joint probability distribution of X and Y is given by f(x, y) find = x + y 30 for x = 0,…
A: Solution
Q: Why the probability P(X=x)=0, for a continuous variable,?
A: Given info: The probability P(X=x)=0, for a continuous variable
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Q: 2. Suppose that the random variable X has the discrete uniform distribution [1/4, x=3,4,5,6.…
A: Answer:- Given the random variable X has the discrete uniform distribution ƒ(x) = 1/4 , x= 3,4,5,6…
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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 =…
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Q: 2) Let X & Y have the joint probability function f(x,y) = cx²y, -y ≤ x ≤ 1,0 ≤ y ≤ 1. i) Find c such…
A: Let X and Y have the joint probability function f(x,y)=cx2y ; -y≤x≤1, 0≤y≤1 0 ; otherwise
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- 2. The distribution of a random number X is Uni(0, 1). Find the probability that (a) the first decimal of √X is equal to 3. (b) the first decimal of X² is equal to 3.Q 4.1. Suppose X and Y are independent random variables, which are jointly continuous. 1. Show carefully that the distribution of ‘X + Y given X = x' is equal to the distribution of the random variable x + Y. Hint: Consider the change of variables h(x, y) = (x,x+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
- 9. Given that f(x, y) = (2x+2y)/2k if x = 0,1 and y = 1,4, is a joint probability distribution function for the random variables X and Y. Find: (f(x|y = 1)25. Let X have a three-dimensional normal distribution with mean vector and covariance matrix and A- 3-1 respectively. Set Y= X1 +X + X, and Y= X1+X. Determine the conditional distribution of Y given that Y 0.7. If a random variable has the probability density function -1≤x≤3 otherwise f(x)=k(x²-1) =0
- Solve the following 1. If the joint probability distribution of X and Yis given by x+y f(x, y) for x = 0,2,3; y = 0,1,2 30 FindQ3: Suppose the joint probability function of X and Y is given by x= 5, y = 0 7 x= 5, y = 3 7 x = 5, y = 4 P (x,y)- *= 8, y = 0 7 x= 8, y = 4 else Compute E(X|Y-0), E(X|Y 4), E(X|Y=3)7. Given that f(x, y) = (2x+2y)/2k if x = 0,1 and y = 1,4, is a joint probability distribution function for the random variables X and Y. Find: The marginal function of x %3D
- 3. Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection during a 20-second time period, is characterized by the following discrete probability function: 6x f(x) = e-6, for x = 0,1,2, ... a) Find the probability that in a specific 20-second time period, more than 8 cars arrive at the intersection.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).