Question

If X is a uniform distribution defined over the interval (a,b), verify that E(X)=(a+b)/2 Var(X)= (b-a)2/12...

If X is a uniform distribution defined over the interval (a,b), verify that

E(X)=(a+b)/2

Var(X)= (b-a)2/12 (Hint:Use the computing formula)

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
Compute the Cumulative Distribution function for the following distributions knowing only f(x), E(x), and Var(x) Uniform...
Compute the Cumulative Distribution function for the following distributions knowing only f(x), E(x), and Var(x) Uniform (over (a,b)) Bernoulli Binomial Geometric Negative Binomial
2.X, defined over the range (1, ∞) has pdf given by: f(x) = 2/x3 Calculate E(x),...
2.X, defined over the range (1, ∞) has pdf given by: f(x) = 2/x3 Calculate E(x), E(x2) and Var(x) Calculate E(X/5) E[(X/5)2] and Var(X/5)
Compute the Moment Generating function for the following distributions knowing only f(x), E(x), and Var(x) Uniform...
Compute the Moment Generating function for the following distributions knowing only f(x), E(x), and Var(x) Uniform (over (a,b)) Bernoulli Binomial Geometric Negative Binomial
Let X be a random variable of uniform distribution over the interval [−1, 1]. Calculate Monte...
Let X be a random variable of uniform distribution over the interval [−1, 1]. Calculate Monte Carlo estimate (in the form of a confidence interval asymptotic level 95%) of E [f (X)] for f (x) = e^x Assume number of simulations to any number.
consider a uniform probability distribution over the interval of 12 and 20. what are the mean...
consider a uniform probability distribution over the interval of 12 and 20. what are the mean and standard deviation of this uniform distribution. Find the prob of s value more than 14. What is the probability of a value between 8.5 and 10.5 Show that the total area is 1.00
true or false: a)Var(X)=E(X^2)-E(X)^2) is always true b)if A and B are dependent then P(A interesection...
true or false: a)Var(X)=E(X^2)-E(X)^2) is always true b)if A and B are dependent then P(A interesection B) - P(A)P(B)=1 c)one of the desavantages of the average is it small sensibility at data change d) Pearson coefficient does not indicate the assimetria of a empiric distribution
Let X represent a continuous random variable with a Uniform distribution over the interval from 0...
Let X represent a continuous random variable with a Uniform distribution over the interval from 0 to 2. Find the following probabilities (use 2 decimal places for all answers): (a) P(X ≤ 1.92) = (b) P(X < 1.92) = (c) P(0.22 ≤ X ≤ 1.56) = (d) P(X < 0.22   or   X > 1.56) =
Consider X as a continuous uniform distribution over the interval [-3, 3]. Let Y = X2
Consider X as a continuous uniform distribution over the interval [-3, 3]. Let Y = X2
Let X=(X_1, X_2)´ a bivariate normal distribution with E(X_1)=mu_1, and E(X_2)=mu_2, Var(X_1)=sigma_1^2, Var(X_2)=sigma_2^2 and correlation coefficient...
Let X=(X_1, X_2)´ a bivariate normal distribution with E(X_1)=mu_1, and E(X_2)=mu_2, Var(X_1)=sigma_1^2, Var(X_2)=sigma_2^2 and correlation coefficient Corr(X_1, X_2)=rho. Calculate P(X_1<X_2)
Which functions fit the description? function 1: f(x)=x^2 + 12. function 2: f(x)= −e^x^2 - 1....
Which functions fit the description? function 1: f(x)=x^2 + 12. function 2: f(x)= −e^x^2 - 1. function 3: f(x)= e^3x function 4: f(x)=x^5 -2x^3 -1 a. this function defined over all realnumbers has 3 inflection points b. this function has no global minimum on the interval (0,1) c. this function defined over all real numbers has a global min but no global max d. this function defined over all real numbers is non-decreasing everywhere e. this function (defined over all...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT