We suppose that the weight of men follows a normal distribution whose parameters are 80 kilos and 15 kilos. Given that a small boat can support a maximum weight of 260 kilos, what is the probability that 3 men randomly and independently selected who get in the small boat sink? What is the probability of the average weight of these 3 men is lower than 85 kilos?

Question

We suppose that the weight of men follows a normal distribution whose parameters are 80 kilos and 15 kilos.

Given that a small boat can support a maximum weight of 260 kilos, what is the probability that 3 men randomly and independently selected who get in the small boat sink?

What is the probability of the average weight of these 3 men is lower than 85 kilos?

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