The average weight of males in the freshman class of a certain college is 75.4kg, with a standard deviation of 7.6kg. Assume normal population. Interpret your result in each question.
a) What is the probability that the weight of a male freshman randomly selected from this population is less than 65kg?
b) What is the probability that the weight of a male freshman randomly selected from this population is greater than 83.5kg?
c) What is the probability that the weight of a male freshman randomly selected from this population falls within 1.0 standard deviation interval of the mean weight?
d) What are the weights that separate the top 25%, bottom 35%, and the rest of the weights?