<![CDATA[Math Is Fun Forum / Probability Distribution]]> 2019-05-24T18:08:36Z FluxBB http://www.mathisfunforum.com/viewtopic.php?id=24968 <![CDATA[Re: Probability Distribution]]>

Construct the probability distribution for the no of break downs from the following data.

Check the question Again.

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http://www.mathisfunforum.com/profile.php?id=212808 2019-05-24T18:08:36Z http://www.mathisfunforum.com/viewtopic.php?pid=409194#p409194
<![CDATA[Re: Probability Distribution]]> hi Zeeshan 01

The question doesn't make clear if you are expected to fit a formula to this data, such as Poisson.  Also it says nothing about the time scale under which the data was collected. If, for example, we had been told " 'x' shows the number of machine breakdowns during each month collected over the last several years" , we could then estimate the probability of getting more than 2 breakdowns in the next week.

As we're not told this and not asked for such answers, I'd take the simplest interpretation and just calculate total f = T and the probability that X > n by adding a third row to the table.  Then for example P(X>6) = (4 + 3 + 1)/T

[X only takes discrete values so a continuous function is not appropriate I think]

Bob

If you have been given an example of a question like this, then post it and it may make things clearer.

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http://www.mathisfunforum.com/profile.php?id=67694 2019-05-20T07:22:25Z http://www.mathisfunforum.com/viewtopic.php?pid=409071#p409071
<![CDATA[Probability Distribution]]> Q)   In the following frequency distribution 'x' shows the number of machine breakdowns and 'f'  shows the frequency of occurrence of 'x'.Construct the probability distribution for the no of break downs from the following data.
x    0  1  2    3    4   5   6  7  8  9
f     5  8  9  11  14  10  7  4  3  1

Also find probability
1)  X>6
2)  X<3
3)  X>7

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http://www.mathisfunforum.com/profile.php?id=212808 2019-05-19T07:29:27Z http://www.mathisfunforum.com/viewtopic.php?pid=408975#p408975