A random variable has poisson distribution such that P (X =3) = P (X= 4). Find P (6).

Q: Q11. Let X1,X 2,.X, be a random sample from a Poisson distribution with parameter å. (a) Find the…

A: Given: X1, X2, ‐‐‐‐,Xn~Poissonλ.    ⇒fx=e-λ.λxx!   Likelihood fuction:-      ⇒Lλ =e-nλλΣxiπ x!…

Q: A random variable X has the following PMF: [refer to image] a) Find E(X) b) If Y = g(X) = X^2,…

A: The PMF of X is given as:

Q: A continuous random variable X has probability distribution function f(x) , where f(x) = k(1 − x2)…

A: The k value is calculated as follows:

Q: Let X be a discrete random variable having the Poisson distribution with parameter u. we know that…

A: Let X be a discrete random variable having a Poisson distribution with parameter .We know that .

Q: Consider the bivariate distribution for the random variables x and y. The expected value of a linear…

A: We want to tell you which one is the correct choice.

Q: Let X be a discrete random variable having the Poisson distribution with parameter μ. we know that…

A: Let X be a discrete random variable having a Poisson distribution with parameter μ.We know that…

Q: Let X be a Poisson random variable such that 2 P(Xe 4P(X 1) +5P(X = 2) %3D 2020/03/om (a) Find its…

A: Given that    We have to find  a..We have to find the mean and variance of X  b .. Probability that…

Q: X is a continuous random variable taking values between 0 and 2. If F(1.5) = 0.70 and P(X<1) = 0.20,…

A:

Q: A random variable x follows continuous uniform distribution on the interval [18,38]. Find the…

A:

Q: Let X be a random variable with expectation E(X)=10 and variance var(X)=5. Which lower bound does…

A: Let 'X' be the any non-negative random variable having mean E(X) and Variance Var(X) then…

Q: Suppose X and Y are independent random variables with expected values E[X] = 0, E[Y] = 0, and Var(X)…

A: We have given that  X and Y are independent random variables with expected values E[X] = 0, E[Y] =…

Q: Let x be a Poisson random variable with mean = 6. Find the probabilities for x using the Poisson…

A: The variable x be a Poisson random variable with mean .

Q: Let X1, . . . , Xn be iid from Exp(β). Find the distribution of the sample maximum Y = X(n) . Is…

A: Given that , , . . . . ,  be i.i.d. exponential with parameter .i.e.

Q: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2…

A: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2 +…

Q: The random variable 'X' has the Poisson distribution Po(m) and P(X=5) = P(X=4) + %3D P(X=3). Find…

A:

Q: a. Find P(X<4), b. Find E(X). c Find SD (X). d. Find FOx), the cumulative distribution function.

A: Given, f(x)=340x+15           3≤X≤5

Q: Find the standard deviation of a discrete random variable X which satisfies P(X=1)=0.1,P(X=-1)=0.6,…

A: Given: A discrete random variable X satisfies the following:     P(X=1)=0.1P(X=-1)=0.6    P(X=2)=0.3

Q: Compute the correlation between the random variables Y1 and Y5 = 1+ X1 + X2.

A:

Q: Suppose X is a uniform random variable on the interval (1, 3), and E(X) = 2. Find the probability…

A: X follows uniform (1, 3). That is, fx=13-1=12VX=b-a212SDX=b-a12=3-112=212=13

Q: the random variable Y is such that : E(2Y+3)=6    and    Var(2-3Y)=11 find      E(Y^2)

A: