(X, Y, Z, W) have multinomial distribution: f(x, y, z, w) = n! x!y!z!w! 01020 (1-01-02-03)", x = 0, 1, 2, ..., n, y = 0, 1, 2,...,n, z = 0, 1, 2,...,n, w = 0, 1, 2,...,n, x+y+z+w = n. Then E(YX = x) is (A) a + β X (B) a + ẞx (C) a + bx+yz (D) a + 3x + y z + C w

Q: (a) If X1,X2, ..,Xg N(0, 52), then the distribution of is V52/8 (A) N 0, 1 (B) N(0, (C) N(0, 1); (D)…

A: (a) Given information, Xi's are iids, that is, independent and identically distributed. X1,…

Q: 2.The joint distribution of X and Y is defined by f(x, y) = {* **,x> 0, y > 0 0, otherwise Find…

A:

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: 4- Suppose that y is N3(4, 41) and let -2 -4 -1 3 -2 -3 A = 4. %3D %3D 1 y Ay, What is the…

A: Given that y~N3μ, 4𝕀 μ=123 and A=2-2-4-1341-2-3

Q: 12. A random variable X is defined on roulette by X(w) = min {6, max {2w — 10,0}}. Find the…

A: Given that the random variable X is defined on Ωroulette by Xω=min6, max2ω-10,0.

Q: a) A Continuous distribution of a variable x in the range (-3,3) is defined as (3 + x)²;-3<x<-1 RAS…

A:

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: Consider a random sample of size n from a uniform distribution, X,- UNIF(0, 0,). (a) Show that X is…

A:

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: (4) 4.) If X, Y are i.i.d. uniform distributions on [0, 1] find: . The distribution of M max{X, Y} .…

A:

Q: 7) Suppose the function Y have a hypergeometric distribution such that- N = 16, n = 5, k = 6 Find i)…

A:

Q: Statement: Additive property of Poisson distribution states that sum of independent Poisson variates…

A:

Q: 41. Show by using convolution that distribution of a sum of independently and identically…

A:

Q: 9) If X,, X X, be a random sample with size 10 from a(u,a), then the distribution of s is: a) z*(10)

A: The test statistic computed for performing the chi-square test for variance is, χ2=n-1S2σ2 Where,…

Q: 4- Suppose that y is N3(4, 41) and let -2 A = %3D -1 3 4. 1 -2 -3 What is the distribution of 9 A9?…

A: Given that y~N3μ, 4𝕀 μ=123  and  A=2-2-4-1341-2-3

Q: Draw the cumulative distribution functions of the following distributions: (a) A continuous random…

A: Let X be a continuous uniform distribution Ua,b, then the probability density function of X is given…

Q: The joint distribution of X and Y is: Pxy(0,0)=1/20, Px,y(0,1)=a, Px,y(0,2)=2/20 Px,y(1,0)=a,…

A:

Q: 3. If X has a uniform distribution in (0,1) with p.d.f f(x)=1, 0<x<1 = 0, otherwise. Find the…

A:

Q: 3) If X,X2X2s and Y, Y Ye are two random samples that distributed n(0,4), n(0,25) respectively, then…

A: Given that Xi~N(0,4) and Yi~N(0,25) n1=25, n2=16

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: 29.- Let X1, X, be a random sample from the population with distribution N(0, 1). Obtain the…

A: We know, X1 and X2 follow normal distribution  X1,X2~N0,1 And Y1 and Y2 are order statistics.…

Q: Let's say that we have a stick of length L and we break it up into 3 pieces randomly. Here random…

A: The answer is given below:

Q: Example 4.2. Suppose the joint distribution of X and Y is given by 1 P(X = x, Y = y) 42 (z + y°)…

A: Solution

Q: if f(x) = x = 1,2, 3, 4 then the distribution function is undefined true false

A:

Q: The joint distribution of X and Y is: Рxp(0,0)-1/10, Рҳr(0,1)-а, Рxx(0,2)-2/10 Pxy(1,0)=a,…

A: Solution

Q: 9/2e1xandy be indefendent Yan dom Vaviabtes Such Ahat r and X-N(0,1) The Pirobability distribucionof…

A: Given that, X ~ N(0,1) &amp; Y ~ chi-square(2)

Q: 2) Let X, X, be two independent random variables such that X, - n(0,1), X,-z(n). The X2 distribution…

A:

Q: 4- Suppose that y is N3(4, 41) and let 2 -2 -41 -1 3 H = 2 3 4. %3D 1 -2 -3 What is the distribution…

A: Given that y~N3μ, 4𝕀 μ=123   and   A=2-2-4-1341-2-3

Q: 2) The time between successive customers coming to the market is assumed to have Exponential…

A: GivenThe time between successive customers coming to the market X is assumed to have Exponential…

Q: le t Zu is Poisson (n) Prove is normal प (ा०)

A:

Q: k), E(X2k+) = 0, k = 0,1,.... Find the (2k)! 6. Let X be a r.v. such that E(X2k) = 5 mgf of X and…

A: 6.   Given that

Q: 2. In statistics, the mean x and variance S of a sequence of numbers *1, X2, X3, ·… , Xn are defined…

A: Consider the theoretical cases..............

Q: Let X(1),..., X(n) be the order statistics from Unif(0, 0). Obtain the joint distribution of (, X(n)…

A:

Q: 5) Let X be a r.v. from standard normal distribution n(0,1). If Y= x+x+x;, then the distribution of…

A: