Question

Roll a pair of fair dice. Let X be the number of ones in the outcome...

Roll a pair of fair dice. Let X be the number of ones in the outcome and let Y be the number of twos in the outcome. Find E[XY].

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

from above:

x y P(x,y) xy*P(X,Y)
0 0    4/9 0       
0 1    2/9 0       
1 0    2/9 0       
1 1    1/18    1/18
2 0    1/36 0       
0 2    1/36 0       
1    1/18

from above:

E(XY)=1/18

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Roll a pair of fair dice. Let X be the number of ones in the outcome...
Roll a pair of fair dice. Let X be the number of ones in the outcome and let Y be the number of twos in the outcome. Are X and Y independent?
You roll a pair of fair dice repeatedly. Let X denote the number of rolls until...
You roll a pair of fair dice repeatedly. Let X denote the number of rolls until you get two consecutive sums of 8(roll two 8 in a row). Find E[X]
Roll a die and let its outcome be the random variable X. Let Y be the...
Roll a die and let its outcome be the random variable X. Let Y be the random variable of “sum of X many dice rolled”. So, if X is 3, then we roll 3 dice and add the faces together to find Y . (a) Are X and Y independent? Explain. (b) Compute E[Y]
Roll a die and let its outcome be the random variable X. Let Y be the...
Roll a die and let its outcome be the random variable X. Let Y be the random variable of “sum of X many dice rolled”. So, if X is 3, then we roll 3 dice and add the faces together to find Y . (a) Are X and Y independent? Explain. (b) Compute E[Y]
Suppose we roll a pair of fair dice, let A=the numbers I rolled add up to...
Suppose we roll a pair of fair dice, let A=the numbers I rolled add up to exactly 8, and let B=the numbers I rolled multiply to an even number. Find P(Bc|Ac)
A fair six-sided die is rolled 10 independent times. Let X be the number of ones...
A fair six-sided die is rolled 10 independent times. Let X be the number of ones and Y the number of twos. (a) (3 pts) What is the joint pmf of X and Y? (b) (3 pts) Find the conditional pmf of X, given Y = y. (c) (3 pts) Given that X = 3, how is Y distributed conditionally? (d) (3 pts) Determine E(Y |X = 3). (e) (3 pts) Compute E(X2 − 4XY + Y2).
A pair of fair dice is tossed and the up face values are observed. Define X...
A pair of fair dice is tossed and the up face values are observed. Define X to be the number of twos observed. Find the mean of X. Round your answer to the nearest thousandths.
A pair of fair dice is tossed and the up face values are observed. Define X...
A pair of fair dice is tossed and the up face values are observed. Define X to be the number of ones observed. Find P(X = 0).
Roll a fair four-sided die twice. Let X be the sum of the two rolls, and...
Roll a fair four-sided die twice. Let X be the sum of the two rolls, and let Y be the larger of the two rolls (or the common value if a tie). a) Find E(X|Y = 4) b) Find the distribution of the random variable E(X|Y ) c) Find E(E(X|Y )). What does this represent? d) Find E(XY |Y = 4) e) Find the distribution of the random variable E(XY |Y ) f) Explain why E(XY |Y ) = Y...
roll a pair of fair dice and at least one of the dice is a six....
roll a pair of fair dice and at least one of the dice is a six. without any further information to go on, what is the conditional probability that the sum of the dice is 8? Is the event that “sum is 8” independent from the event that “at least one of the dice is a six”?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT