CIE statistic2 doubts! Help please

[Tohru Kyo Sohma]

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

[Alpha]

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.

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