Question

If X is a discrete random variable with uniform distribution, where f(x) > 0 when x...

If X is a discrete random variable with uniform distribution, where f(x) > 0 when x = -1, 0, and 1(f(x) = 0, otherwise). If Y is another discrete random variable with identical distribution as X. In addition, X and Y are independent.

1. Please find the probability distribution of (X + Y)/2 and plot it.

2. Please find variance of (X + Y)/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
1. Given a discrete random variable, X , where the discrete probability distribution for X is...
1. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate E(X) X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 2. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate the variance of X X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 3. Given a discrete random variable, X...
Question 2 Suppose that X has a discrete uniform distribution f(x)={1/3, x=1,2,3 0, otherwise A random...
Question 2 Suppose that X has a discrete uniform distribution f(x)={1/3, x=1,2,3 0, otherwise A random sample of n=37 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.4. Express the final answer to four decimal places (e.g. 0.9876). The probability is ???
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.
a) Suppose that X is a uniform continuous random variable where 0 < x < 5....
a) Suppose that X is a uniform continuous random variable where 0 < x < 5. Find the pdf f(x) and use it to find P(2 < x < 3.5). b) Suppose that Y has an exponential distribution with mean 20. Find the pdf f(y) and use it to compute P(18 < Y < 23). c) Let X be a beta random variable a = 2 and b = 3. Find P(0.25 < X < 0.50)
A uniform random variable on (0,1), X, has density function f(x) = 1, 0 < x...
A uniform random variable on (0,1), X, has density function f(x) = 1, 0 < x < 1. Let Y = X1 + X2 where X1 and X2 are independent and identically distributed uniform random variables on (0,1). 1) By considering the cumulant generating function of Y , determine the first three cumulants of Y .
Suppose X is a random variable with pdf f(x)= {c(1-x) 0<x<1 {0 otherwise where c >...
Suppose X is a random variable with pdf f(x)= {c(1-x) 0<x<1 {0 otherwise where c > 0. (a) Find c. (b) Find the cdf F (). (c) Find the 50th percentile (the median) for the distribution. (d) Find the general formula for F^-1 (p), the 100pth percentile of the distribution when 0 < p < 1.
X in a discrete uniform(2,4) random variable and given X, W is a discrete uniform (-x...
X in a discrete uniform(2,4) random variable and given X, W is a discrete uniform (-x , x) random variable. Find PX,W(x, w) and calculate it at x=2. A. 1/27 B. 1/9 C. 1/21 D. 1/15
Let x be a discrete random variable with the following probability distribution x: -1 , 0...
Let x be a discrete random variable with the following probability distribution x: -1 , 0 , 1, 2 P(x) 0.3 , 0.2 , 0.15 , 0.35 Find the mean and the standard deviation of x
Let the random variable X have a discrete uniform distribution on the integers 1 ≤ x...
Let the random variable X have a discrete uniform distribution on the integers 1 ≤ x ≤ 7. Determine the mean, μ, and variance, σ2, of X. Round your answers to two decimal places (e.g. 98.76). μ = σ2 =
A random variable X has probability density function f(x) defined by f(x) = cx−6 if x...
A random variable X has probability density function f(x) defined by f(x) = cx−6 if x > 1, and f(x) = 0, otherwise. a. Find the constant c. b. Calculate E(X) and Var(X). c. Now assume Z1, Z2, Z3, Z4 are independent RVs whose distribution is identical to that of X. Compute E[(Z1 +Z2 +Z3 +Z4)/4] and Var[(Z1 +Z2 +Z3 +Z4)/4]. d. Let Y = 1/X, using the formula to find the pdf of Y.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT