Question

A random variable X is normally distributed with a mean of 100 and a variance of...

A random variable X is normally distributed with a mean of 100 and a variance of 100​, and a random variable Y is normally distributed with a mean of 180 and a variance of 324. The random variables have a correlation coefficient equal to −0.4. Find the mean and variance of the random variable below.W=2X−4Y

μW=

​(Type an integer or a​ decimal.)

σ2W=

​(Type an integer or a​ decimal.)

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
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 0.6. Find the mean and variance of the random variable : W= 6X + 3Y
Let X be a random variable with a mean of 9 and a variance of 16....
Let X be a random variable with a mean of 9 and a variance of 16. Let Y be a random variable with a mean of 10 and a variance of 25. Suppose the population correlation coefficient between random variables X and Y is -0.4. a) Find the mean of the random variable W = 3X - 5Y. b) Find the standard deviation of the random variable Z = X + Y
X is a normally distributed random variable with a mean of 100 and a variance of...
X is a normally distributed random variable with a mean of 100 and a variance of 144. Use Excel to find the value of X that gives a probability of 10% on the right. In other words, find Xo such that P(X > Xo) = 0.10. Write your answer to 4 decimal places. A. 115.3672 B. 115.3786 C. 115.3600 D. 115.3721
Suppose X is a normally distributed random variable with mean μ = 10 and variance σ2...
Suppose X is a normally distributed random variable with mean μ = 10 and variance σ2 = 4. Find P(9 < X < 12).
The sum of independent normally distributed random variables is normally distributed with mean equal to the...
The sum of independent normally distributed random variables is normally distributed with mean equal to the sum of the individual means and variance equal to the sum of the individual variances. If X is the sum of three independent normally distributed random variables with respective means 100, 150, and 200 and respective standard deviations 15, 20, and 25, the probability that X is between 420 and 460 is closest to which of the following?
a random variable, X, is normally distributed with a mean of 100 and a standard deviation...
a random variable, X, is normally distributed with a mean of 100 and a standard deviation of 6. What is the probability, Pr(X<100)? Answer Please use 4 significant digits What is the probability, Pr(X>116)? Answer Please use 4 significant digits What is the probability, Pr(90<X<110)? Answer Please use 4 significant digits
Given independent random variables with means and standard deviations as​ shown, find the mean and standard...
Given independent random variables with means and standard deviations as​ shown, find the mean and standard deviation of each of these​ variables: Mean SD ​a) 4X                  ​b) 4Y+3 ​c) 2X+5Y X 70 14 ​d) 5X−4Y    ​e) X1+X2 Y 10 5 ​a) Find the mean and standard deviation for the random variable 4X. ​E(4​X)=_____________ ​SD(4​X)=_______________ ​(Round to two decimal places as​ needed.) ​b) Find the mean and standard deviation for the random variable 4​Y+3. ​E(4​Y+3​)= ________________ ​SD(4​Y+3​)= _____________________ ​(Round to...
1.Suppose X is a random variable that is normally distributed with mean 5 and standard deviation...
1.Suppose X is a random variable that is normally distributed with mean 5 and standard deviation 0.4. If P (X≤X0) = P (Z≤1.3). What is the value of X0.? Select one: 2.00 5.52 6.90 4.48 2.Suppose X is a random variable that is normally distributed with a mean of 5. If P (X≤3) = 0.2005, what is the value of the standard deviation? Select one: σ = 2.38 σ = −2 σ = 1.38 σ = 2
Assume the random variable X is normally distributed with a mean μ = 50 and standard...
Assume the random variable X is normally distributed with a mean μ = 50 and standard deviation σ = 4.5. Find the P (x > 60) (three-decimal accuracy) Find the P (35 < x < 55) (three-decimal accuracy) Find x so that the area below x is .12. (one-decimal accuracy)
A random variable X is normally distributed. Suppose we obtain a random sample of 11 elements...
A random variable X is normally distributed. Suppose we obtain a random sample of 11 elements from the population. Further assume that the population variance is 100. Find the probability that the sample variance is at least 48.6.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT