A random variable X is normally distributed with a mean of 500 and a variance of 100, and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables have a correlation coefficient equal 0.7. Find the variance of the random variable: W=5X-4Y. A. The mean of Wis B. The standard deviation is C. The probability that W is greater than 1550 is %6. (answer in percent form)
A random variable X is normally distributed with a mean of 500 and a variance of 100, and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables have a correlation coefficient equal 0.7. Find the variance of the random variable: W=5X-4Y. A. The mean of Wis B. The standard deviation is C. The probability that W is greater than 1550 is %6. (answer in percent form)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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Explanation all three subparts correctly and clearly.not wrong solution
Transcribed Image Text:A random variable X is normally distributed with a mean of 500 and a variance of 100, and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables have a correlation coefficient equal to
0.7. Find the variance of the random variable: W = 5X - 4Y.
A. The mean of W is
B. The standard deviation is
C. The probability that W is greater than 1550 is
%. (answer in percent form)
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