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A single die is rolled 19 times. What is the probability that a six
is rolled exactly once, if it is known that at least one six is
rolled?
Suppose we are given a probability distribution that has a mean
if 14 and a standard deviation of 0.2.
Use the Chebyshev inequality to find a lower bound estimate of
the following probabilities:
(a) The probability that the outcome will lie between 12 and
16
(b) The probability that the outcome lies between 12.5 to 15.5

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