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?
