1. Consider a container which has a large number of coins and suppose that each of the coins has some probability of turning up heads when it is tossed. However, this probability varies from coin to coin. Suppose that the composition of the container is such that if a coin is chosen at random from the container, then its heads probability can be regarded as being the value of a rv X that is Beta distributed with parameters m e Z+ and n e Z+. Suppose that a coin is selected at random from the container and tossed k e Z+ times. Out of these k tosses, let Y denote the number of heads obtained. (a) Find the marginal pmf of Y. (b) Determine Var(Y). (c) Determine the conditional distribution of X|(Y = y), as well as its associated mean and variance.

Q: The equation z* + 4 = 0 has no solution. %3D Select one: O True False

A: We have to check the given equation has solution or not

Q: The product of two numbers is 2883 and their GCD is 31. Find their LCM.

A:

Q: The product of two consecutive interference is 13 less than five times their sum. Find the…

A: Consider the two consecutive integers as x and x + 1.Then, the sum and the product of the two…

Q: 4) Solve for x: 3x-24 16 - 3x-12 12 = 3

A:

Q: A figure consists of 2 rectangles. The first rectangle has a length of 8 yards and a width of 10…

A:

Q: Imagine that you took a tennis racket and tennis ball out to a Golf Course. Is it possible to stand…

A: If we took a tennis racket and tennis ball to a golf course and try to put the tennis ball in the…

Q: I don't know if you know this, but when you upload your work it gets all jumbled together and makes…

A: We have two equation for v'1t and v'2t .  We need to solve for them and find values .  We will use…

Q: I need 5 equations, not only one.  How can i calculate other equations

A: Let the age of youngest child is x years. Youngest child 7 years older than the oldest. Who is 18.

Q: 1. 2x + 4y + 3: = 15 4x + 5y + 3: == 24 6r + 5y + 5z = 22

A: 1. 2x + 4y + 3z = 15    4x + 5y + 3z = 24    6x + 5y + 5z = 22    243453655 xyz = 152422Augmented…

Q: 2.x = 3 (mod 11) тod 10x = 7 (mod 13) тod

A:

Q: Find the general solution of У" - Зу + 2у 3 2х3 - 9х? + 6х

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.