Friday

December 19, 2014

December 19, 2014

Posted by **Sandy** on Wednesday, April 27, 2011 at 4:43am.

W = X + Y. Assuming independence, find the p.m.f. of W when

(a) The first die has three faces numbered 0 and three faces numbered 2, and the second die has its faces numbered 0, 1, 4, 5, 8, and 9.

(b) The faces on the first die are numbered 0, 1, 2, 3, 4, and 5, and the faces on the second die are numbered 0, 6, 12, 18, 24, and 30.

- Math(Probability) -
**MathMate**, Wednesday, April 27, 2011 at 10:28amOutcomes of the first die:

{0,0,0,2,2,2}

Outcomes of the second die:

{0,1,4,5,8,9}

There are 36 outcomes for W=x+y, some of which are identical. Make a table and compile the sums:

X 0 0 0 2 2 2

0 0 0 0 2 2 2

1 1 1 1 3 3 3

4 4 4 4 6 6 6

5 5 5 5 7 7 7

8 8 8 8 10 10 10

9 9 9 9 11 11 11

Now compile the count of the outcomes, and divide by 36 to get the pmf (probability mass function)

0 3 1/12

1 3 1/12

2 3 1/12

3 3 1/12

4 3 1/12

5 3 1/12

6 3 1/12

7 3 1/12

8 3 1/12

9 3 1/12

10 3 1/12

11 3 1/12

Part b is similar to part a.

Post your answer for a check if you wish.

**Answer this Question**

**Related Questions**

Probability - When two fair six-sided dice are rolled, there are 36 possible ...

Math - Which pair has equally likely outcomes? List the letters of the two ...

Statistics - Two fair six-sided dice are rolled and total of results on the top ...

Math Probability - Find the (theoretical) probability of a given event, assuming...

probability - Two six-sided dice each have the numbers 1 through 6 on their ...

probabbility - Find the (theoretical) probability of a given event, assuming ...

Statistics - Two dice are tossed. What is the probability that the sum of both ...

Stats - Two dice are tossed. What is the probability that the sum of both dice ...

probability - two fair six-sided dice are rolled and the sum of the dots on the ...

math - A fair six sided dice has the faces numbered from 1 to 6. The dice is ...