Let X ~ Exponential(1). a. Find the conditional PDF and CDF of X given X > 1. b. Find E[X|X > 1]. c. Find Var(X|X > 1).

Q: The population of a town in California is modeled by the function f(x) 16,612(1.024)". If the…

A: The problem gives the function f(x) = 16612(1.024)x which models the population of california.

Q: Calculate P ( Z > -0.1)

A:

Q: Giving f(0.23) = 0.362, f(0.53) = 0.143, f(0.86) = −1.143, please use inverse interpolating method…

A: Given that f0.23=0.362, f0.53=0.143, f0.86=-1.143. Using inverse interpolating method to get the…

Q: Determine the discontinuities of the following functions and state why the function fails to be…

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

Q: 3- Find the domain and ranges for V1/(1 – x3)

A: The given function is 11-x3  To find the domain and range of 11-x3

Q: A bowl contains 10 chips where only one is red. Draw chips from the bowl without replacement until…

A: We are given that a bowl contains 10 chips and only one is red. Draw chips from the bowl without…

Q: Graph the functions

A: We make table for each potion  G(x)=1/x  x -3 -2 -1 -0.01 y -0.33 -0.5 -1 -100   G(x)=x…

Q: 4x f (x)=- x2 +4 %3D

A: f(x)=-4xx2+4

Q: f = (-0.17) =

A:

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf X, 0 < x < 1 fx(x) = |0,…

A: Given information: The probability distribution function is fXx=x,    0&lt;x&lt;10,    otherwise.

Q: A college graduate is looking for a job. It is believed that the chance of getting a job offer after…

A: we have to find variance for geometric distribution.

Q: Evaluate the following function. If p (x) = 7 (4)" , find p (5)

A:

Q: Show that the function F= the fallowing canohical tranformatione %3D COS and %3D

A: Determine q from Q=ln1+qcosp and then express q and P in terms of p and Q.…

Q: Let f(x)=x³ and g(x)=Jx, and h(x)=–. Find each of the following: 3 g(h(f(x))) g(h(f(x))) =

A:

Q: Evaluate C(x,(x−1))

A:

Q: Exercise 5.- Calculate the mean value of the function f(x)=2(x-1)³ - 5(x − 1)² +6 in the interval al…

A:

Q: a rectangular sheet of cardboard is 8 inches by 10 inches. Squares are cut out of each corner of the…

A:

Q: Let f(x) f-¹(-2) = x + 3 x + 6

A:

Q: c. Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

A:

Q: Sketch the graph of f

A: To sketchf(x)=ln|x-1|

Q: d. Compute E(X) and Var(X).

A:

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: 2 Let f(x)= 3x - 4 and let g(x) = 2x + 1. Find the given value. fig(3)] f[g(3)] = (Type an integer…

A:

Q: Evaluate the following function. If p (x) = 4 (3)", find p (3)

A: p(x) = 4(3)x to find p(3) we will put value of variable x = 3 .

Q: (4) = {KG* x – x), 0, if 1<x< 3 f(x) otherwise

A: Given information: Let X be any continuous random variable. The probability density function of X is…