continued doubts!
Qns.4-Accidents occur in a factory at an average rate of 5 per month. find the probabilities that there will be exactly 62 in a year?
Qns.5-Water taken from a river contains on average 16 bacteria per ml.Assuming a Poisson distribution find the probability that 5 ml of the water contains exactly 80 bacteria?
Qns.6-Sales of cooking oil bought in a shop during a week follow a Poisson distribution with mean 100.How many units should be kept in stock to be at least 99% certain that supply will be able to meet demand?
Answers below;
4. 0.0497
5. 0.0446
6. 123
Per year= 5*12
X~Po (12)
Find P (X=62) then. This part, you know.
Qu. 5 is similar.
5 ml= 16*5. Use a Poisson Distribution for this one too like above.
Qu. 6)
Let number of units be n.
X ~ Po (100).
Find P (X=n)= e^-100. 100^n/ n!
Then equate to 99%. Mail me your questions. I gotta go for now.
Lemme know if you got the answers.
