Question 8.2.9: (a) Suppose a number X is chosen at random from [0, 20] with......
(a) Suppose a number X is chosen at random from [0, 20] with uniform probability. Find a lower bound for the probability that X lies between 8 and 12, using Chebyshev’s Inequality.
(b) Now suppose 20 real numbers are chosen independently from [0, 20] with uniform probability. Find a lower bound for the probability that their average lies between 8 and 12.
(c) Now suppose 100 real numbers are chosen independently from [0, 20]. Find a lower bound for the probability that their average lies between
8 and 12.
(a) 0
(b) 7/12
(c) 11/12
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