Question

Let X_1, and X_2 be independent binomial random variables with X_i having parameters (n_i, p_i), i...

Let X_1, and X_2 be independent binomial random variables with X_i having parameters (n_i, p_i), i = 1, 2. Find
a)P(X_1 X_2 = 0)
b) P(X_1 + X_2 = 1)
c) P(X_1 + X_2 = 2)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X=(X_1, X_2)´ a bivariate normal distribution with E(X_1)=mu_1, and E(X_2)=mu_2, Var(X_1)=sigma_1^2, Var(X_2)=sigma_2^2 and correlation coefficient...
Let X=(X_1, X_2)´ a bivariate normal distribution with E(X_1)=mu_1, and E(X_2)=mu_2, Var(X_1)=sigma_1^2, Var(X_2)=sigma_2^2 and correlation coefficient Corr(X_1, X_2)=rho. Calculate P(X_1<X_2)
Let R be the polynomial ring in infinitly many variables x_1,x_2,.... with coefficients in a field...
Let R be the polynomial ring in infinitly many variables x_1,x_2,.... with coefficients in a field F. Let M be the cyclic R- module R itself. Prove that the submodule {x_1,x_2,....} cannot be generated by any finite set.
Create a pair of random variables, where the correlation between X_1and X_2 is small. We can...
Create a pair of random variables, where the correlation between X_1and X_2 is small. We can do this by letting X_2=a*X_1+b*Z, (X_1 and Z be independent random variables) and changing the constant values of a and b.
Let X and Y be independent exponential random variables with respective parameters 2 and 3. a)....
Let X and Y be independent exponential random variables with respective parameters 2 and 3. a). Find the cdf and density of Z = X/Y . b). Compute P(X < Y ). c). Find the cdf and density of W = min{X,Y }.
7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1...
7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1 and θ2, use the distribution function technique to find the probability density of Y=X1+X2 when a) θ1 ≠ θ2 b) θ1 = θ2 7.7) With reference to the two random variables of Exercise 7.5, show that if θ1 = θ2 = 1, the random variable Z1=X1/(X1 + X2) has the uniform density with α=0 and β=1.                                      (I ONLY NEED TO ANSWER 7.7)
7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1...
7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1 and θ2, use the distribution function technique to find the probability density of Y=X1+X2 when a) θ1 ≠ θ2 b) θ1 = θ2 7.7) With reference to the two random variables of Exercise 7.5, show that if θ1 = θ2 = 1, the random variable Z1=X1/(X1 + X2) has the uniform density with α=0 and β=1.                                      (I ONLY NEED TO ANSWER 7.7)
Let X1 and X2 be two independent random variables having gamma distribution with parameters α1 =...
Let X1 and X2 be two independent random variables having gamma distribution with parameters α1 = 3, β1 = 3 and α2 = 5, β2 = 1, respectively. We are interested in finding the distribution of Y = 2X1 + 6X2. A standard approach is to apply a two-step procedure as that in question 2. However, as we discussed in the class, if the MGF technique is applicable, then it would be preferred due to its simplicity. (a) Find the...
Independent random variables X and Y follow binomial distributions with parameters(n1,θ) and (n2,θ). Let Z =X+Y....
Independent random variables X and Y follow binomial distributions with parameters(n1,θ) and (n2,θ). Let Z =X+Y. What will be the distribution of Z? Hint: Use moment generating function.
Let Xi, i = 1, 2..., 48, be independent random variables that are uniformly distributed on...
Let Xi, i = 1, 2..., 48, be independent random variables that are uniformly distributed on the interval [-0.5, 0.5]. (a) Find the probability Pr(|X1|) < 0.05 (b) Find the approximate probability P (|Xbar| ≤ 0.05). (c) Determine an approximation of a such that P(Xbar ≤ a) = 0.15
Let X1 and X2 be independent Poisson random variables with respective parameters λ1 and λ2. Find...
Let X1 and X2 be independent Poisson random variables with respective parameters λ1 and λ2. Find the conditional probability mass function P(X1 = k | X1 + X2 = n).