# Thread: Probability in normal distribution

1. ## Probability in normal distribution

The weight of persons in a country is normally distributed with a mean equal to 70 kg and a standard deviation equal to 12 kg.
a. What is the probability that one person randomly selected from the population has a weight larger than 80 kg?
b. Elevators take into account that people in the elevator on average can weigh up to 75 kg. That is, when the elevator is built for five people, the elevator is no longer safe when the sum of the weights of the five people is larger than 375 kilo.
Consider two elevators. Both can handle an average weight of 75 kg when the elevator is full. One elevator is small and can take 4 people, the other elevator is large and can take 10 people.
Question: If the elevators are full of people, which elevator is most likely to be unsafe?
Answers: (i) the small one, (ii) the large one, (iii) both are equally likely to be unsafe

2. ## Re: Probability in normal distribution

Where are you having trouble with this problem?

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