Mathematics — Probability · law-of-large-numbers-continuous
Problem
A student's score on a particular calculus final is a random variable with values of [0,100], mean 70, and variance 25.
(a) Find a lower bound for the probability that the student's score will fall between 65 and 75.
(b) If 100 students take the final, find a lower bound for the probability that the class average will fall between 65 and 75.