Question

To interpret the graph in terms of probabilities, remember that the probability that an observation will...

To interpret the graph in terms of probabilities, remember that the probability that an observation will be in a given interval will be equal to the area under the normal curve bounded by that interval.

The weights of 10000 female athletes are normally distributed with a mean of the weights equal to 55 kg and a standard deviation of 5 kg.

a) Find the number of athletes weighing less than 45 kg.

b) What is the probability that an athlete weighs between 50 kg and 60 kg?

c) Find the range of weights that would include 99% of the measures.

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