Suppose X~Pois(λ1) and Y~Pois(λ2). Find the conditional mass function for X given X+Y = m
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Suppose X~Pois(λ1) and Y~Pois(λ2). Find the conditional mass function for X given X+Y = m
Let X and Y be independent rv’s with pmf Pois(λ1) and Pois(λ2),
respectively.
(a) Find the distribution of Z = X + Y .
(b) Find the distribution of X|X + Y .
(c)If X∼Pois(λ1) and Y|X=x∼Bin(x,p). Find the distribution of
Y.
Let X and Y be independent rv's with pmf Pois(11) and Pois(12), respectively. (a) Find the distribution of Z= X+Y. (b) Find the distribution of X|X +Y. (c) If X ~ Pois(11) and Y|X = x ~ Bin(x,p)....
statisfied the PDE Suppose that λ-λ 1,22 are constants such that u(x, y)-F(x + λy) 24 u(x,y))-10 ya for any twice-differentiable function of one variable F(s) Suppose also that λ1 λ2 , enter the values of λ 1, λ2 in the boxes below. 6 2 Hence the soution will be of the form Solve the PDE with the initial conditions u (x, 0)-5 sin (a), lty (x,0)-0. Enter the expression for u(x, y) in the box below using Maple syntax...
) Let Y ∼ Exp(λ). Given that Y = m, let X ∼ Pois(m).
Find the mean and
variance of X.
estrbetrecoralcional stribution. 2. (Anderson, 10, 11) Let Y ~ Exp(A). Given that Y = m, let X ~ Pois(m). Find the mean and variance of X 3 (Anderson 10
b) Find the proDa D111ty distri Dution or the random varıa Die Λ1 + Λ2 on ofr the random varlable A1+A2 Problem 3. The random variable X has density function f given by @y2, for 0 y θ 0, elsewhere a) Assuming that - 0.8, determine K (b) Find Fx(t), the c.d.f. of X C) Calculate P(0.4SX 0.8)
This is a probability question. Please be thorough and
detailed.
3. (8 pts.) Suppose that Xi ~ Exp(A) and X2 ~ Exp(A2) where λ1 and λ2 are positive con- λ2, but do assume that Xi and X2 are independent. Compute stants. Do not assume λι P(X1 < X2). Now note that the probability you just computed is in fact P(Xmin(XI, X2)). This suggests the following generalization. Suppose we have a collection of N independent ex- ponential random variables, X1, X2,...
Suppose the eigenvalues of a 3x 3 matrix A are λ1-5 λ2-4 andh"4 with corresponding eigenvectors v1 = 0 v' 1 and V' -4 Let Cur Atte x,-1-1 | Find the solution or the equation xk + 1 . AXk for the spected xo, and describe what happens as k→00 Find the solution of the equation xx-1 = A4 choose the correct answer below. @a. ½=(5)kl o lli| | | |+2 This c
Suppose the eigenvalues of a 3x 3...
Differential Equations: Given that λ1= 6, v1=(1,1) and λ2=−2, v2=(1−1) are eigenpairs of A, solve x′=Ax, x(0) =k. (Ans:~x=(e6t)(3,3)+e^(−2t)(−6,6)) This is the answer but not sure how to get there.
help plz
2. (Anderson, 10.11) Let Y ~Exp(A). Given that Ym, let X ~Pois(m). Find the mean and variance of X.
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.
The strain-energy function for an ideal rubber is U=C1(λ12+λ22+λ32-3). Where, λ1, λ2, λ3, are the principle extension ratios. If a piece of such a rubber is initially 1 m long and 1 m wide, find the stress required to give a extended 2m length and 2m width by applying for an equal two-dimensional stretching (biaxial stretching). C1 is 4X10^5 Pa.