Question

In: Statistics and Probability

4. The weights of professional rugby players are normally distributed with mean weight 92 kilograms and...

4. The weights of professional rugby players are normally distributed with mean weight 92 kilograms and standard deviation 12.8 kilograms.

(a) Find the probability that a randomly selected professional rugby player weighs less than 80 kilograms.

(b) Find the probability that a randomly selected professional rugby player weighs over 110 kilograms.

(c) Find the probability that a professional rugby player weighs between 80 and 100 kilograms.

(d) What weight separates the lightest 9% of professional rugby players from the rest?

(e) What weight separates the heaviest 2.5% of professional rugby players from the rest?


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