Question

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.

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
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)
Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤...
Let X be the random variable with probability density function f(x) = 0.5x for 0 ≤ x  ≤ 2 and zero otherwise. Find the mean and standard deviation of the random variable X.
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).
Suppose a random variable X has cumulative distribution function (cdf) F and probability density function (pdf)...
Suppose a random variable X has cumulative distribution function (cdf) F and probability density function (pdf) f. Consider the random variable Y = X?b a for a > 0 and real b. (a) Let G(x) = P(Y x) denote the cdf of Y . What is the relationship between the functions G and F? Explain your answer clearly. (b) Let g(x) denote the pdf of Y . How are the two functions f and g related? Note: Here, Y is...
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.
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....
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...
Let X be a random variable with probability density function f(x) = {3/10x(3-x) if 0<=x<=2 .........{0...
Let X be a random variable with probability density function f(x) = {3/10x(3-x) if 0<=x<=2 .........{0 otherwise a) Find the standard deviation of X to four decimal places. b) Find the mean of X to four decimal places. c) Let y=x2 find the probability density function fy of Y.
Let the probability function of the random variable X be f(x) = { x⁄45 if x...
Let the probability function of the random variable X be f(x) = { x⁄45 if x = 1, 2, 3, ⋯ ⋯ ,9 ; 0 otherwise} Find E(X) and Var(X)
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 ).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT