Find a lower bound for the probability that the students


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.

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