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Homework03.pdf Google Chrome https: dle2 php/ 2133318/ resource/content/0/Homewo

ID: 3022987 • Letter: H

Question

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

Explanation / Answer

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