Question

The following function is a legitimate density function: f(x)=2*(3x + 4)/33 for -1 < x <...

The following function is a legitimate density function: f(x)=2*(3x + 4)/33 for -1 < x < 2 and 0 else. Please include at least 3 decimal places for all parts in this question.

a) Find P(1 ≤ x < 4).

b) What is the expected value?

c) Determine the cdf.

d) Find the 50 th percentile.

Math   Statistics-And-Probability   
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
7. For the random variable x with probability density function: f(x) = {1/2 if 0 <...
7. For the random variable x with probability density function: f(x) = {1/2 if 0 < x< 1, x − 1 if 1 ≤ x < 2} a. (4 points) Find the CDF function. b. (3 points) Find p(x < 1.5). c. (3 points) Find P(X<0.5 or X>1.5)
Consider the following the density function: f(x) = 2(1 – x) 0 < x < 1...
Consider the following the density function: f(x) = 2(1 – x) 0 < x < 1 0 elsewhere a. What is the expected value of X? b. What is the variance of X? c. What is F(x), the CDF of X.
1. Suppose a random variable X has a probability density function f(x)= {cx^2 -1<x<1, {0 otherwise...
1. Suppose a random variable X has a probability density function f(x)= {cx^2 -1<x<1, {0 otherwise where c > 0. (a) Determine c. (b) Find the cdf F (). (c) Compute P (-0.5 < X < 0.75). (d) Compute P (|X| > 0.25). (e) Compute P (X > 0.75 | X > 0). (f) Compute P (|X| > 0.75| |X| > 0.5).
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 ≤...
6. A continuous random variable X has probability density function f(x) = 0 if x< 0...
6. A continuous random variable X has probability density function f(x) = 0 if x< 0 x/4 if 0 < or = x< 2 1/2 if 2 < or = x< 3 0 if x> or = 3 (a) Find P(X<1) (b) Find P(X<2.5) (c) Find the cumulative distribution function F(x) = P(X< or = x). Be sure to define the function for all real numbers x. (Hint: The cdf will involve four pieces, depending on an interval/range for x....
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)
Let X and Y have a joint density function given by f(x; y) = 3x; 0...
Let X and Y have a joint density function given by f(x; y) = 3x; 0 <= y <= x <= 1 (a) Find P(X<2Y). (b) Find cov(X,Y). (c) Find P(X < 1/2 |Y = 1/3). (d) Find P(X = 1/2|Y = 1/3). (e) Find P(X > 1/2|Y > 1/3). (f) Find the conditional expectation E(X|Y = y).
1. Find k so that f(x) is a probability density function. k= ___________ f(x)= { 7k/x^5...
1. Find k so that f(x) is a probability density function. k= ___________ f(x)= { 7k/x^5 0 1 < x < infinity elsewhere 2. The probability density function of X is f(x). F(1.5)=___________ f(x) = {(1/2)x^3 - (3/8)x^2 0 0 < x < 2 elsewhere   3. F(x) is the distribution function of X. Find the probability density function of X. Give your answer as a piecewise function. F(x) = {3x^2 - 2x^3 0 0<x<1 elsewhere
Let the probability density function of the random variable X be f(x) = { e ^2x...
Let the probability density function of the random variable X be f(x) = { e ^2x if x ≤ 0 ;1 /x ^2 if x ≥ 2 ; 0 otherwise} Find the cumulative distribution function (cdf) of X.
Suppose that the joint density function of X and Y  is given by f (x, y)  ...
Suppose that the joint density function of X and Y  is given by f (x, y)  =  45 xe−3x(y + 5)     x  >  0, y  >  0. (a) Find the conditional density of  X, given Y  =  y. (b) Find the conditional density of Y, given  X  =  x. (c) Find P(Y  >  5 | X  =  4).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT