# Question

Suppose X is b(n, θ) and θ is beta(α, β). Show that the marginal pdf of X (the compound distribution) is

For x = 0, 1, 2, . . . , n.

For x = 0, 1, 2, . . . , n.

## Answer to relevant Questions

Let X have the pdf Let S2 be the variance of a random sample of size n from N(μ, σ2). Using the fact that (n − 1)S2/σ2 is χ2(n−1), note that the probability Where Rewrite the inequalities to obtain If n = 13 and Show that [6.11, ...Let S2X and S2Y be the respective variances of two independent random samples of sizes n and m from N(μX, σ2X) and N(μY, σ2Y). Use the fact that F = [S2Y/σ2Y]/[S2X/σ2X] has an F distribution, with parameters r1 = m− ...Let p equal the proportion of Americans who favor the death penalty. If a random sample of n = 1234 Americans yielded y = 864 who favored the death penalty, find an approximate 95% confidence interval for p. A company manufactures mints that have a label weight of 20.4 grams. The company regularly samples from the production line and weighs the selected mints. During two mornings of production it sampled 81 mints, obtaining the ...Post your question

0