HomeworkLib
Question

3. Assume that X and Y are normally distributed; X ~ N(Anơ, Y ~ N(ty ,g; ) . And X and Y are independent as well. Find the mean and the variance of the dependent variable R where R2-X2 +Y2

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

TOPIC: Finding the mean and variance of the given random variable.

Here, X and av e Noro mall a nd, X and y ore abo indeeuent cde have (K and var (y)c0e kwow, don a Normal distr)bution, the ơdd cextnal moments are zero and the donmule don tne even ondcentvaal mom-ents arte- E (x)1.3.5 Putting, n2 in fthe abave denmula So, e have +E (Y) andy uance tenm vanislh dese to independen十队 4

0 0
Add a comment
Know the answer?
Add Answer to:
3. Assume that X and Y are normally distributed; X ~ N(Anơ, Y ~ N(ty ,g;...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 9. The random variable x is distributed normally with mean Mx. and variance 6 and random...

    9. The random variable x is distributed normally with mean Mx. and variance 6 and random Variable Y is normally distributed with mean & and Variance or 2x=34 is distributed hormally with mean 12 and variance 42 Assume Independence Find values Ux and by. Possible answers: Mx = 18 & Gyr by=va mx-128 6y=842 My 686y=2 ty=-68

  • Let X be normally distributed with mean 1 and variance 2. Given X = x, Y...

    Let X be normally distributed with mean 1 and variance 2. Given X = x, Y is normally distributed with mean x and variance 3. Find the second moment of Y and the conditional distribution of X given Y = y.

  • Question 4 16 marks Let Y N(Hy, o). Then X := exp(Y) is said to be lognormally distributed with p.d.f. (In(x)-Hy) e...

    Question 4 16 marks Let Y N(Hy, o). Then X := exp(Y) is said to be lognormally distributed with p.d.f. (In(x)-Hy) exp 202 fx(x) TOYV27 and denoted as LN(Hy, of). Let Xı,... , X, be random samples from the LN(Hy,of) distribution (a) Find the maximum likelihood estimator for ty, which we denote as fty (Hint: Use the fact that Yi In(X) is normally distributed with known mean and variance) Verify that the sought stationary point is a maximum (b) Verify...

  • Assume the random variable x is normally distributed with mean y = 50 and standard deviation...

    Assume the random variable x is normally distributed with mean y = 50 and standard deviation o=7. Find the indicated probability P(x > 40) P(x >40) - (Round to four decimal places as needed.) Assume the random variable x is normally distributed with mean = 88 and standard deviation o = 4. Find the indicated probability P(76<x<85) P(76<x<85)= (Round to four decimal places as needed.) Assume a member is selected at random from the population represented by the graph. Find...

  • Assume a normally distributed population, for which the variance is known, but the mean is unknown....

    Assume a normally distributed population, for which the variance is known, but the mean is unknown. Suppose n observations are x1, x2,...,x3 are made. a) Find the maximum likelihood estimate for the mean. b) Now assume the mean is known but the variance is unknown, Find the maximum likelihood for the variance

  • 2. A marksman is shooting at (0,0). Let (X, Y) be the coordinates of the hit. Assume X, Y are ind...

    2. A marksman is shooting at (0,0). Let (X, Y) be the coordinates of the hit. Assume X, Y are independent N (0,02) (a) Find the joint pdf of (X, Y), (b) Find the pdf of V = X2 + Y2. Hint. First find the cdf F (r) = P (V-r) using polar coordinates and joint pdf from (a). 2. A marksman is shooting at (0,0). Let (X, Y) be the coordinates of the hit. Assume X, Y are independent...

  • ​, Upper X 2​, Upper X 3​, and Upper X 4 are normally distributed random​ variables:...

    ​, Upper X 2​, Upper X 3​, and Upper X 4 are normally distributed random​ variables: Upper X 1 tilde Upper N left parenthesis 0 comma 0 right parenthesis​, Upper X 2 tilde Upper N left parenthesis 0 comma 1 right parenthesis​, Upper X 3 tilde Upper N left parenthesis 1 comma 0 right parenthesis​, and Upper X 4 tilde Upper N left parenthesis 1 comma 1 right parenthesis. X1, X2, X3, and X4 are normally distributed random variables: X1...

  • A random variable X is normally distributed with a mean of 121 and a variance of...

    A random variable X is normally distributed with a mean of 121 and a variance of 121, and a random variable Y is normally distributed with a mean of 150 and a variance of 225. The random variables have a correlation coefficient equal to 0.5. Find the mean and variance of the random variable below. Av-218 (Type an integer or a decimal.) σ (Type an integer or a decimal.)

  • This LUSU A Show Work Assume the random variable X is normally distributed, with mean y...

    This LUSU A Show Work Assume the random variable X is normally distributed, with mean y = 48 and standard deviation o = 6. Find the 13th percentile. The 13th percentile is (Round to two decimal places as needed.)

  • 3. Suppose that X is normally distributed N(3.6,0.81).IfY a. Find the probability density functio...

    3. Suppose that X is normally distributed N(3.6,0.81).IfY a. Find the probability density function for Y b. State the mean and the expected value for Y c. Calculate the probability P(120S YS 520). 3. Suppose that X is normally distributed N(3.6,0.81).IfY a. Find the probability density function for Y b. State the mean and the expected value for Y c. Calculate the probability P(120S YS 520).

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT