Question

A fast-food restaurant operates both a drive-through facility and a walk-in facility. On a randomly selected...

A fast-food restaurant operates both a drive-through facility and a walk-in facility. On a randomly selected day, let X and Y , respectively, be the proportions of the time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is f(x, y) = C(x + 2y) if 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1, f(x, y) = 0 else.

(a) Determine the value of C. ANSWER: C=2/3

(b) Find the marginal distribution of X, that is, find the probability density function fX for X. ANSWER: 2/3(X+1)

*(c) Compute the expectation and variance of X.

0 0
Add a comment Improve this question Transcribed image text
Request Professional Answer

Request Answer!

We need at least 10 more requests to produce the answer.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the answer will be notified once they are available.
Know the answer?
Add Answer to:
A fast-food restaurant operates both a drive-through facility and a walk-in facility. On a randomly selected...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
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
ADVERTISEMENT