# Question: Let X1 and X2 be a pair of random variables

Let X1 and X2 be a pair of random variables. Show that the covariance between the random variables

Y1 = (X1 + X2) and Y2 = (X1 - X2) is 0 if and only if X1 and X2 have the same variance.

Y1 = (X1 + X2) and Y2 = (X1 - X2) is 0 if and only if X1 and X2 have the same variance.

**View Solution:**## Answer to relevant Questions

Grade point averages of students on a large campus follow a normal distribution with a mean of 2.6 and a standard deviation of 0.5. a. One student is chosen at random from this campus. What is the probability that this ...It is estimated that amounts of money spent on gasoline by customers at a gas station follow a normal distribution with a standard deviation of $2.50. It is also found that 10% of all customers spent more than $25. What ...It is estimated that times to completion for major league baseball games follow a normal distribution with a mean of 132 minutes and a standard deviation of 12 minutes. a. What proportion of all games last between 120 ...The mean selling price of senior condominiums in Green Valley over a year was $215,000. The population standard deviation was $25,000. A random sample of 100 new unit sales was obtained. a. What is the probability that the ...The number of hours spent studying by students on a large campus in the week before final exams follows a normal distribution with a standard deviation of 8.4 hours. A random sample of these students is taken to estimate the ...Post your question