Question

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

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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 ≤...
Probability density function of the continuous random variable X is given by f(x) = ( ce...
Probability density function of the continuous random variable X is given by f(x) = ( ce −1 8 x for x ≥ 0 0 elsewhere (a) Determine the value of the constant c. (b) Find P(X ≤ 36). (c) Determine k such that P(X > k) = e −2 .
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.
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=
Consider a continuous random variable X with the probability density function f X ( x )...
Consider a continuous random variable X with the probability density function f X ( x ) = |x|/C , – 2 ≤ x ≤ 1, zero elsewhere. a) Find the value of C that makes f X ( x ) a valid probability density function. b) Find the cumulative distribution function of X, F X ( x ).
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.
Let X be a continuous random variable with the probability density function f(x) = C x,...
Let X be a continuous random variable with the probability density function f(x) = C x, 6 ≤ x ≤ 25, zero otherwise. a. Find the value of C that would make f(x) a valid probability density function. Enter a fraction (e.g. 2/5): C = b. Find the probability P(X > 16). Give your answer to 4 decimal places. c. Find the mean of the probability distribution of X. Give your answer to 4 decimal places. d. Find the median...
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)
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
Find the values of a function f(x) if f(x) = 2x + 5, for f(2), f(4),...
Find the values of a function f(x) if f(x) = 2x + 5, for f(2), f(4), f(k), and f(x2 + 2) The difference quotient of a function is given by: limh0f(x) fx+h-f(x)h . Find the difference quotient of, f(x) = 2x + 3 and f(x) = x2 + 2 a. Prove that h(x) and k(x) are inverses of each other when h(x) =x+213  and k(x) = 3x + 21
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT