I'm really getting baffled with this question that has taken me far too long to complete and would love some guidance.

An accident caused the catastrophic failure of metal pipes in a factory. There were

six metal pipes in the garage at any given time.

Table 1 shows the numbers of metal pipe failures that had occurred on

each of the 23 previous inspections.

Table 1 Number of metal pipe failures

Number of failed metal pipes 0 1 2 3 4 5 6

Number of inspections------16 5 2 0 0 0 0

(i) Let p be the probability that a pipe fails on an inspection. What

distribution is appropriate to describe the failure or non-failure of a

particular metal pipe on a particular inspection?

For this I have said that this is a Bernoulli Distribution due to only two possible outcomes of failure and non-failure.

(ii) A reasonable estimate of p is 3/46 or 0.065. Explain where this number comes from.

This is where I am getting stuck on. I cannot work out what p is using the information they have provided.Many thanks for your help.

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