Question

Please dont use handwriting

1. Calculate the probability of occurrence, cumulative probability and interval of
   random numbers for the following data, hence complete the table

Demand	Frequency	Probability of Occurrence	Cumulative Probability	Interval of Random Numbers
0	10
1	30
2	20
3	60
4	40
5	50

Answer 1

Demnd	Frequency	Probability Of Occurrence	Cumulative Probability	Interval of Random Numbers
0	10	0.047619	0.047619	01 to 04
1	30	0.142857	0.190476	05 to 19
2	20	0.095238	0.285714	20 to 28
3	60	0.285714	0.571428	29 to 57
4	40	0.190476	0.761904	58 to 76
5	50	0.238095	0.999999	77 to 00

Probability of Occurrence = Frequency/ sum of Frequency

Suppose, for Frequency =10

Here, sum of Frequency= 210

Therefore Probability of Occurrence of 0= (10/210)=0.047619

And repeat this for others.

Cumulative Frequency =P(X<=x)

Here, x= demand

Now for x=0,

i) P(X<=0)=P(X=0)

= 0.047619

ii) P(X<=1)= P(X=0)+P(X=1)

=0.047619+ 0.142857

= 0.190476

And do similarly for others and last cumulative Frequency is nothing

But addition of probabilities which is approximately 1.