Question

find μ and σ2 for the probability density. For distribution function F(X): F(x)=x^2/2 when 0<x<1 F(x)=2x-x^2/2-1...

find μ and σ2 for the probability density.

For distribution function F(X):
F(x)=x^2/2 when 0<x<1

F(x)=2x-x^2/2-1 when 1<=x<2

F(x)=1 when x>=2

1.P(X>1.8) = 0.02

2.P(0.4<=X<=1.6) = 0.84

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
Find the standard deviation of the distribution that has the following probability density function: f(x)={ 2x,...
Find the standard deviation of the distribution that has the following probability density function: f(x)={ 2x, 0<x<1 0, O.W.
Let X have the distribution that has the following probability density function: f(x)={2x,0<x<1        {0, Otherwise...
Let X have the distribution that has the following probability density function: f(x)={2x,0<x<1        {0, Otherwise Find the probability that X>0.5. Why is the probability 0.75 and not 0.5?
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)).
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.
1. Let fX(x;μ,σ2) denote the probability density function of a normally distributed variable X with mean...
1. Let fX(x;μ,σ2) denote the probability density function of a normally distributed variable X with mean μ and variance σ2. a. What value of x maximizes this function? b. What is the maximum value of fX(x;μ,σ2)?
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 ≤...
Let F(x) = 1 − e −2x for x > 0 and F(x) = 0 for...
Let F(x) = 1 − e −2x for x > 0 and F(x) = 0 for x ≤ 0. Is F(x) a distribution function? Explain your answer. If it is a distribution function, find its density function.
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)
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....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT