Question

The probability desinity function of X is f(x)=ax+b on the interval [0,2] and it is 0...

The probability desinity function of X is f(x)=ax+b on the interval [0,2] and it is 0 elsewhere. You are given that the median of X is 1.25. Find a and b

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a=0.267 & b=0.233

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
The r.v. X has the probability density function f (x) = ax + bx2 if 0...
The r.v. X has the probability density function f (x) = ax + bx2 if 0 < x < 1 and zero otherwise. If E[X] = 0.6, find (a) P[X < 21] and (b) Var(X). (Answers should be in numerical values and not be as expressions in a and b.)
A random variable X has a probability function f(x) = Ax, 0 ≤ x ≤ 1,...
A random variable X has a probability function f(x) = Ax, 0 ≤ x ≤ 1, 0, otherwise. a. What is the value of A? (Hint: intigral -inf to inf f(x)dx= 1.) b. Compute P(0less than x less than 1/3) c. Compute the cdf. of X. d. Compute E(X). e. Compute V(X).
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
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 ≤...
a) The joint probability density function of the random variables X, Y is given as f(x,y)...
a) 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. b) Find the expected values EX and EY for the density function above c) find Cov  X,Y .
Find the Fourier series of the function f on the given interval. f(x) = 0,   ...
Find the Fourier series of the function f on the given interval. f(x) = 0,    −π < x < 0 1,    0 ≤ x < π
given the conditions for a function (f(x)) f '(x) > 0 on (0,3) • f '(x)...
given the conditions for a function (f(x)) f '(x) > 0 on (0,3) • f '(x) < 0 on (3,∞) • f ''(x) > 0 on (0,2) • f ''(x) < 0 on (−∞,0) ∪ (2,∞) how would the graph f(x) look like?
Suppose that ff is a Riemann integrable function on [0,2][0,2] and that ∫20f(x)dx=5∫02f(x)dx=5. Suppose further that...
Suppose that ff is a Riemann integrable function on [0,2][0,2] and that ∫20f(x)dx=5∫02f(x)dx=5. Suppose further that AA is a function such that if 0≤a≤20≤a≤2 then the average value of ff on the interval [0,a][0,a] is given by A(a)A(a). Find a formula for the average value of ff on [a,2][a,2] using AA.
Consider the given function and the given interval. f(x) = 5 x , [0, 4] (a)...
Consider the given function and the given interval. f(x) = 5 x , [0, 4] (a) Find the average value fave of f on the given interval. (b) Find c such that fave = f(c). (Round your answer to three decimal places.) c =
Let X be a continuous random variable with the following probability density function: f(x) = e^−(x−1)...
Let X be a continuous random variable with the following probability density function: f(x) = e^−(x−1) for x ≥ 1; 0 elsewhere (i) Find P(0.5 < X < 2). (ii) Find the value such that random variable X exceeds it 50% of the time. This value is called the median of the random variable X.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT