Question

2. Show that each given function is a probability density function and find the indicated probabilities:•...

2. Show that each given function is a probability density function and find the indicated probabilities:•

Let f(x) =1/4(1+x)^−5/4 in [0,∞);

find

P(0≤X≤2), P(1≤X≤3) and P(X≥5)

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. f is a probability density function for the random variable X defined on the given...
1. f is a probability density function for the random variable X defined on the given interval. Find the indicated probabilities. f(x) = 1/36(9 − x2);  [−3, 3] (a)    P(−1 ≤ X ≤ 1)(9 − x2);  [−3, 3] (b)    P(X ≤ 0) (c)    P(X > −1) (d)    P(X = 0) 2. Find the value of the constant k such that the function is a probability density function on the indicated interval. f(x) = kx2;  [0, 3] k=
1. Decide if f(x) = 1/2x2dx on the interval [1, 4] is a probability density function...
1. Decide if f(x) = 1/2x2dx on the interval [1, 4] is a probability density function 2. Decide if f(x) = 1/81x3dx on the interval [0, 3] is a probability density function. 3. Find a value for k such that f(x) = kx on the interval [2, 3] is a probability density function. 4. Let f(x) = 1 /2 e -x/2 on the interval [0, ∞). a. Show that f(x) is a probability density function b. . Find P(0 ≤...
2. Let the probability density function (pdf) of random variable X be given by:                           ...
2. Let the probability density function (pdf) of random variable X be given by:                            f(x) = C (2x - x²),                         for 0< x < 2,                         f(x) = 0,                                       otherwise      Find the value of C.                                                                           (5points) Find cumulative probability function F(x)                                       (5points) Find P (0 < X < 1), P (1< X < 2), P (2 < X <3)                                (3points) Find the mean, : , and variance, F².                                                   (6points)
2. 2. The joint probability density function of X and Y is given by                               &n
2. 2. The joint probability density function of X and Y is given by                                                  f(x,y) = (6/7)(x² + xy/2), 0 < x < 1, 0 < y < 2.     f(x,y) =0 otherwise a) Compute the marginal densities of X and Y. b) Are X and Y independent. c) Compute the   conditional density function f(y|x) and check restrictions on function you derived d) probability P{X+Y<1} [5+5+5+5 = 20]
2. The joint probability density function of X and Y is given by                               &nbsp
2. The joint probability density function of X and Y is given by                                                  f(x,y) = (6/7)(x² + xy/2), 0 < x < 1, 0 < y < 2.     f(x,y) =0 otherwise a) Compute the marginal densities of X and Y. b) Are X and Y independent. c) Compute the   conditional density function f(y|x) and check restrictions on function you derived d) probability P{X+Y<1}
Suppose that X has a probability density function given by (3/8)*x^2 for 0<=x<=2 (Show all work...
Suppose that X has a probability density function given by (3/8)*x^2 for 0<=x<=2 (Show all work for this problem). (A) Find the expected value, E(X), of X. (B) Find the cumulative distribution function, F(X).
Let the probability density of X be given by f(x) = c(4x - 2x^2 ), 0...
Let the probability density of X be given by f(x) = c(4x - 2x^2 ), 0 < x < 2; 0, otherwise. a) What is the value of c? b) What is the cumulative distribution function of X? c) Find P(X<1|(1/2)<X<(3/2)).
Let X be a random variable with the probability density function fx(x) given by: fx(x)= 1/4(2-x),...
Let X be a random variable with the probability density function fx(x) given by: fx(x)= 1/4(2-x), 0<x<2 1/4(x-2), 2<=x<4 0, otherwise. Let Y=|X-3|. Compute the probability density function of Y.
Problem 4 The joint probability density function of the random variables X, Y is given as...
Problem 4 The joint probability density function of the random variables X, Y is given as f(x,y)=8xy if 0 ≤ y ≤ x ≤ 1, and 0 elsewhere. Find the marginal probability density functions. Problem 5 Find the expected values E (X) and E (Y) for the density function given in Problem 4. Problem 7. Using information from problems 4 and 5, find Cov(X,Y).
The density function of random variable X is given by f(x) = 1/4 , if 0...
The density function of random variable X is given by f(x) = 1/4 , if 0 Find P(x>2) Find the expected value of X, E(X). Find variance of X, Var(X). Let F(X) be cumulative distribution function of X. Find F(3/2)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT