Question

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 ≤ X ≤ 1)

c. Find P(X ≥ 1)

5. Find the cumulative distribution function for the probability density function

f(x) = 3 /14x1/2 on the interval [1, 4]

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. 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=
f(x)=Cx 1. what value should C be for this to be a valid probability density function...
f(x)=Cx 1. what value should C be for this to be a valid probability density function on the interval [0,4]? 2. what is the Cumulative distribution function f(x) which gives P(X ≤ x) and use it to determine P(X ≤ 2). 3. what is the expected value of X? 4. figure out the value of E[6X+1] and Var(6X+1)
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.
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)
The random variable X has probability density function: f(x) = ke^(−x) 0 ≤ x ≤ ln...
The random variable X has probability density function: f(x) = ke^(−x) 0 ≤ x ≤ ln 2 0 otherwise Part a: Determine the value of k. Part b: Find F(x), the cumulative distribution function of X. Part c: Find E[X]. Part d: Find the variance and standard deviation of X. All work must be shown for this question. R-Studio should not be used.
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 .
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...
Suppose that the joint probability density function of the random variables X and Y is f(x,...
Suppose that the joint probability density function of the random variables X and Y is f(x, y) = 8 >< >: x + cy^2 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 0 otherwise. (a) Sketch the region of non-zero probability density and show that c = 3/ 2 . (b) Find P(X + Y < 1), P(X + Y = 1) and P(X + Y > 1). (c) Compute the marginal density function of X and Y...
Let X be a random variable with probability density function fX(x) = {c(1−x^2)if −1< x <1,...
Let X be a random variable with probability density function fX(x) = {c(1−x^2)if −1< x <1, 0 otherwise}. a) What is the value of c? b) What is the cumulative distribution function of X? c) Compute E(X) and Var(X).
1 (a) Let f(x) be the probability density function of a continuous random variable X defined...
1 (a) Let f(x) be the probability density function of a continuous random variable X defined by f(x) = b(1 - x2), -1 < x < 1, for some constant b. Determine the value of b. 1 (b) Find the distribution function F(x) of X . Enter the value of F(0.5) as the answer to this question.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT