Question

Given the following cumulative probability function: 0 x < -5 .10 -5 <= x < 0...

Given the following cumulative probability function:

0 x < -5
.10 -5 <= x < 0
.40 0 <= x < 5
F(x)= .50 5 <= x < 10
.75 10 <= x < 15
1.0 X >= 15

a. P( 0 <x<10)
b. P( 5<x<10)
c. P(x< 10)
d. P(x>5)
e. P(x=7)
f. Calculate f (x) and draw F (x) and F (x)
g. Calculate E (x)
h. Calculate the variance of X
i. Calculate the expected g (x) = 5x-2
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
13. If X follows the following cumulative probability distribution: 0 X≤5 0.10 (X-5) 5≤X≤7 F (X)...
13. If X follows the following cumulative probability distribution: 0 X≤5 0.10 (X-5) 5≤X≤7 F (X) 0.20 + 0.20 (X-7) 7≤X≤11 1 X≥11 a. Calculate a probability function f (X) (10 pts) b. Calculate the expected value of X and the Variance of X. (15 pts) c. Calculate the probability that X is between 6.0 and 8.80. (10 pts) d. Calculate the percentile of 70 percent. (10 pts) e. Calculate the expected g (x), if g (X) = 2X-10 (15...
Given the following probability function: .10 x = 5 f(x) = . 20 x = -2,...
Given the following probability function: .10 x = 5 f(x) = . 20 x = -2, 8, 10 .30 x = 6 A. Calculate f(x) and make an appropriate drawing of f(x) and F(x) (15 pts) B. P (6 < X < 8) (5 pts) C. P (x > 7) (5 pts) D. P (x < 8) (5 pts) E. The average of X (5 pts) F. The fashion of X (5 pts) G. The variance of X (10 pts)
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.
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)
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)
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)
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.
Suppose that X has a probability density function given by (3/8)*x^2 for 0<=x<=2 (Show all work...
Suppose that X has a probability density function given by (3/8)*x^2 for 0<=x<=2 (Show all work for this problem). (A) Find the expected value, E(X), of X. (B) Find the cumulative distribution function, F(X).
The measurement error in estimating the fortune of a certain self-declared billionaire, X, has the following...
The measurement error in estimating the fortune of a certain self-declared billionaire, X, has the following cumulative distribution function: F(x) = 0 for x < -2 F(x)= .5 + .09375(4x −x3/3) for -2 ≤ x ≤ 2 F(x) = 1 for x > 2 a) Give the probability density function for X in the interval -2, 2]. b) What is the probability that X > 1?   c) What is the probability that the billionaire actually has a fortune less than...
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]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT