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Problem: A pair of Swish running shoes will last an average of 325 miles before needing replaced. Let denote the number of miles until a pair of Swishrunning shoes needs to be replaced.
Required:
a) Identify the distribution, parameter(s), and support of.
b) Find the probability that a pair of Swish running shoes lasts more than 400 miles before needing replacement.
c) What is the probability that a pair of Swish running shoes will need replacement before the stated average?
d) What is the probability that pair of Swish running shoes will last exactly 350 miles?
e) Given a pair of Swish has already been used for more than 400 miles, what is the probability that they will need replaced before 462 miles?
f) Determine the median number of miles until a pair of Swish will need replaced.
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