Question: Based on past experience, it is assumed that the number of flaws per metre in rolls of grade 2 paper follow a Poisson distribution with

Based on past experience, it is assumed that the number of flaws per metre in rolls of grade 2 paper follow a Poisson distribution with a mean of one flaw per 5 metres of paper.

A flaw has just been found.

a. What is the probability that:

i. there is not another flaw in the remaining 10 metres of the roll?

ii. a flaw will be found in the next metre of the roll?

iii. at least one flaw will be found in the next 5 metres?

b. What is the mean distance between flaws?

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