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Zeeshan 01

Member

Registered: 2016-07-22

Posts: 746

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

Last edited by Zeeshan 01 (2019-05-24 06:06:35)

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Malik

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

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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Zeeshan 01

Member

Registered: 2016-07-22

Posts: 746

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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Malik