Homework SourseHomework03pdf Google Chrome https dle2 php 2133318 resourcec
Homework03.pdf Google Chrome https: dle2 php/ 2133318/ resource/content/0/Homeworko3.pdf 5. Roll two fair four-sided dice. Then S 4,2 33,34,41,42,43,44). Let X product of the numbers you roll\". That is, if you roli a 11 then X-1 and if you roll a 42 then X-8. Construct the pdf for X: 6. The length of time (in hours) a particular type of battery lasts before needing to be recharged has the probability distribution shown below. Findtheaverage length of time the battery will last. f(x) (3x2)/19 for 2sxs3 f(x) 0 otherwise STAT 312 Homework 3 February, 2016 7. Continuing problem 6, find the variance of the time the battery will last. 8. Continuing problem 6, find the median length of time the battery will last. de 6:39 PM
Solution
5.
Consider:
Hence, as there are 36 possibilities, then the pdf is
[ANSWER]
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| Die 1 | Die 2 | Product |
| 1 | 1 | 1 |
| 1 | 2 | 2 |
| 1 | 3 | 3 |
| 1 | 4 | 4 |
| 1 | 5 | 5 |
| 1 | 6 | 6 |
| 2 | 1 | 2 |
| 2 | 2 | 4 |
| 2 | 3 | 6 |
| 2 | 4 | 8 |
| 2 | 5 | 10 |
| 2 | 6 | 12 |
| 3 | 1 | 3 |
| 3 | 2 | 6 |
| 3 | 3 | 9 |
| 3 | 4 | 12 |
| 3 | 5 | 15 |
| 3 | 6 | 18 |
| 4 | 1 | 4 |
| 4 | 2 | 8 |
| 4 | 3 | 12 |
| 4 | 4 | 16 |
| 4 | 5 | 20 |
| 4 | 6 | 24 |
| 5 | 1 | 5 |
| 5 | 2 | 10 |
| 5 | 3 | 15 |
| 5 | 4 | 20 |
| 5 | 5 | 25 |
| 5 | 6 | 30 |
| 6 | 1 | 6 |
| 6 | 2 | 12 |
| 6 | 3 | 18 |
| 6 | 4 | 24 |
| 6 | 5 | 30 |
| 6 | 6 | 36 |
