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

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Statistics

4. The weights of professional rugby players are normallydistributed with mean weight 92 kilograms and standard deviation12.8 kilograms.

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

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

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

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

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


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