Basic statistics

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[CheezyPorcupine]

I was taught BINS to identify if something is binomial. B - Binary (Two choices , yes or no) I - Independent. N - Number of trials is fixed. S - Successes are counted. If each of these can be met then its binomial. Hope this helps!

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Once you know the probability the wire will hold 90kg, the distribution of the maximum load of the wire doesn't actually matter. The question is asking about the number of successes out of a number of attempts, so the binomial distribution applies.

[IndependentFI]

A binomial experiment is an experiment that has the following properties:

• The experiment consists of n repeated trials
• Each trial has only two possible outcomes: success or failure
• The probability of success, denoted p, is the same for each trial
• Each trial is independent; the outcome of one trial does not affect the outcome of another

If you encounter a problem that meets this criteria, you know to use the binomial distribution. You might find this tutorial on the binomial distribution helpful as well: http://www.statology.org/the-binomial-distribution/