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

Check the question Again.

]]>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.

]]>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