The statistics exam scores are consistently distributed between 35 and 100.
a) Make the pdf of this random variable.
b) What proportion of students have exam scores more than 80?
c) What proportion of students have exam scores less than 70?
d) What proportion of students has exam scores between 40 and 50?
e) Compute the mean of the exam scores?
f) Determine the standard deviation of the exam scores?
g) Determine the variance of the exam scores?