Question

The cumulative distribution function for a random variable X is F(x)= 0 if x less than...

The cumulative distribution function for a random variable X is F(x)= 0 if x less than or equal 0, or F(x)=sinx if 0 is less than x is less than or equal to pi/2 , or F(x)= 1, if x is greater than pi/2 . (a) find P(0.1 less than X less than 0.2. (b) find E(x)

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
Suppose that the random variable X has the following cumulative probability distribution X: 0 1. 2....
Suppose that the random variable X has the following cumulative probability distribution X: 0 1. 2. 3. 4 F(X): 0.1 0.29. 0.49. 0.8. 1.0 Part 1:  Find P open parentheses 1 less or equal than x less or equal than 2 close parentheses Part 2: Determine the density function f(x). Part 3: Find E(X). Part 4: Find Var(X). Part 5: Suppose Y = 2X - 3,  for all of X, determine E(Y) and Var(Y)
X is a continuous random variable with the cumulative distribution function F(x)   = 0               when...
X is a continuous random variable with the cumulative distribution function F(x)   = 0               when x < 0 = x2              when 0 ≤ x ≤ 1 = 1               when x > 1 Compute P(1/4 < X ≤ 1/2) What is f(x), the probability density function of X? Compute E[X]
The density function of random variable X is given by f(x) = 1/4 , if 0...
The density function of random variable X is given by f(x) = 1/4 , if 0 Find P(x>2) Find the expected value of X, E(X). Find variance of X, Var(X). Let F(X) be cumulative distribution function of X. Find F(3/2)
A random variable X has the cumulative distribution function (cdf) given by F(x) = (1 +...
A random variable X has the cumulative distribution function (cdf) given by F(x) = (1 + e−x ) −1 , −∞ < x < ∞. (i) Find the probability density function (pdf) of X. (ii) Roughly, take 10 points in the range of x (5 points below 0 and 5 points more than 0) and plot the pdf on these 10 points. Does it look like the pdf is symmetric around 0? (iii) Also, find the expected value of X.
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....
A continuous random variable X has the following probability density function F(x) = cx^3, 0<x<2 and...
A continuous random variable X has the following probability density function F(x) = cx^3, 0<x<2 and 0 otherwise (a) Find the value c such that f(x) is indeed a density function. (b) Write out the cumulative distribution function of X. (c) P(1 < X < 3) =? (d) Write out the mean and variance of X. (e) Let Y be another continuous random variable such that  when 0 < X < 2, and 0 otherwise. Calculate the mean of Y.
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.
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.
Let X be a random variable of the mixed type having the distribution function F (...
Let X be a random variable of the mixed type having the distribution function F ( x ) = 0 w h e r e x < 0 F ( x ) = x 2 4 w h e r e 0 ≤ x < 1 F ( x ) = x + 1 4 w h e r e 1 ≤ x < 2 Question 1: Find the mean of X Question 2: Find the variance of X Question...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT