# Question: Show that X and Y are identically distributed and not

Show that X and Y are identically distributed and not necessarily independent, then

Cov(X + Y, X − Y) = 0

Cov(X + Y, X − Y) = 0

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

Suppose that X is a continuous random variable with density function f. Show that E[|X − a|] is minimized when a is equal to the median of F. Write Now break up the integral into the regions where x < a and where x > a, ...Consider 3 trials, each having the same probability of success. Let X denote the total number of successes in these trials. If E[X] = 1.8, what is (a) The largest possible value of P{X = 3}? (b) The smallest possible value ...Let X be a random variable having finite expectation μ and variance σ2, and let g(∙) be a twice differentiable function. Show that Expand g(∙) in a Taylor series about μ. Use the first three terms and ignore the ...An insurance company has 10,000 automobile policyholders. The expected yearly claim per policyholder is $240, with a standard deviation of $800. Approximate the probability that the total yearly claim exceeds $2.7 million. A person has 100 light bulbs whose lifetimes are independent exponentials with mean 5 hours. If the bulbs are used one at a time, with a failed bulb being replaced immediately by a new one, approximate the probability that ...Post your question