Question

The amount of kerosene, in thousands of litres, in a tank at the beginning of any day is a randon amount Y from which a rando

0 0
Add a comment Improve this question Transcribed image text
Answer #1

fx (2) - Sécsy Jdy = 25dy = 2C1+x) **) fall-2) , OLX! low tycy) of+cky f (x, y dx .24 ty (y)= 29 104441 28ow y=x ow b) : f@)

i hope it helps..

please post remaining questions separately...Please give me like

Add a comment
Know the answer?
Add Answer to:
The amount of kerosene, in thousands of litres, in a tank at the beginning of any...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The amount of kerosene, in thousands of litres, in a tank at the beginning of any...

    The amount of kerosene, in thousands of litres, in a tank at the beginning of any day is a random amount Y from which a random amount X is sold during that day. Suppose that the tank is not resupplied during the day so that x y, and assume that the joint density function of these of these variables is Determine the correlation coefficient between X and Y and interpret the value calculated. We were unable to transcribe this imagef...

  • The joint PDF of random variables X and Y is expressed as (a) Determine the constant...

    The joint PDF of random variables X and Y is expressed as (a) Determine the constant c. (b) Determine the marginal density function for X. (c) Determine the marginal density function for Y. (d) Are X and Y statistically independent? (e) Determine the probability of P(X ≤ 0.5 | Y = 1). The joint PDF of random variables X and Y is expressed as certy, 05xs1 and 05ys2 fx.x(x, y) = 10. elsewhere. (a) Determine the constant c. (b) Determine...

  • 5. If two random variables X and Y have the joint density k(52+2y2) for 0<<2 0...

    5. If two random variables X and Y have the joint density k(52+2y2) for 0<<2 0 <y< 1 f(r, y) elsewhere (a) Find k (b) Find P(0<x< 1, 0<Y<0.5) (c) Find marginal density fi(a) and f2(y) (d) Are X and Y independent? (e) Find E(X) () Find P(X2 0.5). expression for fi(x|y); (g) an

  • 4.5-5 Two random variables X and Y have a joint probability density function ability, 0<y<x<2 om...

    4.5-5 Two random variables X and Y have a joint probability density function ability, 0<y<x<2 om oldalon ( 52 fxy(x, y) = 16 o Wes and m Signal es elsewhere to (a) Find the marginal density functions of X and Y. (b) Are X and Y statistically independent? oldoro ototitillarindanand

  • Example: Gasoline is to be stocked in a bulk tank once at the beginning of each...

    Example: Gasoline is to be stocked in a bulk tank once at the beginning of each week and then sold to individual customers. Let Y, denote the proportion of the capacity of the bulk tank that is available after the tank is stocked at the beginning of the week. Because of the limited supplies, Y1 varies from week to week. Let Y2 denote the proportion of the capacity of the bulk tank that is sold during the week. Because Y,...

  • Example: Gasoline is to be stocked in a bulk tank once at the beginning of each...

    Example: Gasoline is to be stocked in a bulk tank once at the beginning of each week and then sold to individual customers. Let Y, denote the proportion of the capacity of the bulk tank that is available after the tank is stocked at the beginning of the week. Because of the limited supplies, Y1 varies from week to week. Let Y2 denote the proportion of the capacity of the bulk tank that is sold during the week. Because Y,...

  • Example: Gasoline is to be stocked in a bulk tank once at the beginning of each...

    Example: Gasoline is to be stocked in a bulk tank once at the beginning of each week and then sold to individual customers. Let Y, denote the proportion of the capacity of the bulk tank that is available after the tank is stocked at the beginning of the week. Because of the limited supplies, Y1 varies from week to week. Let Y2 denote the proportion of the capacity of the bulk tank that is sold during the week. Because Y,...

  • The joint probability density function of the random variables X, Y, and Z is (e-(x+y+z) f(x,...

    The joint probability density function of the random variables X, Y, and Z is (e-(x+y+z) f(x, y, z) 0 < x, 0 < y, 0 <z elsewhere (a) (3 pts) Verify that the joint density function is a valid density function. (b) (3 pts) Find the joint marginal density function of X and Y alone (by integrating over 2). (C) (4 pts) Find the marginal density functions for X and Y. (d) (3 pts) What are P(1 < X <...

  • 15. Let X and Y denote the lengths of life, in hundreds of hours, for co...

    15. Let X and Y denote the lengths of life, in hundreds of hours, for co ponents of typesI and types II, respectively in an electronic system. The joint density of X and Y is given by Bre" (z +v)/2 f(z, y) = otherwise Find the probability that a component of type II will have a life lenght in excess of 200 hours. 16. Let the random variables X and Y have the joint p.d.f a. f(z,y)=ī, for (z,y) =...

  • Let X and Y have joint density function: show s c(x² + y²), if os rs1.osys1...

    Let X and Y have joint density function: show s c(x² + y²), if os rs1.osys1 10, otherwise. (a) Determine the constant c. (b) Find P(X < 1/2, Y > 1/2), and P(Y < 1/2). (c) Find P(X - Y < 1/2) (d) Find the covariance Cov(X,Y). Are the random variables X and Y independent? (e) Find the correlation coefficient p.

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