Tires A tire manufacturer believes that the treadlife of itssnow tires can be described by a Normal model with amean of 32,000 miles and standard deviation of2500 miles.a) If you buy a set of these tires, would it be reasonablefor you to hope they’ll last 40,000 miles? Explain.b) Approximately what fraction of these tires can beexpected to last less than 30,000 miles?c) Approximately what fraction of these tires can beexpected to last between 30,000 and 35,000 miles?d) Estimate the IQR of the treadlives.e) In planning a marketing strategy, a local tire dealerwants to offer a refund to any customer whose tiresfail to last a certain number of miles. However, thedealer does not want to take too big a risk. If the dealeris willing to give refunds to no more than 1 of every25 customers, for what mileage can he guarantee thesetires to last?
Tires A tire manufacturer believes that the treadlife of its
snow tires can be described by a Normal model with amean of 32,000 miles and standard deviation of
2500 miles.
a) If you buy a set of these tires, would it be reasonable
for you to hope they’ll last 40,000 miles? Explain.
b) Approximately what fraction of these tires can be
expected to last less than 30,000 miles?
c) Approximately what fraction of these tires can be
expected to last between 30,000 and 35,000 miles?
d) Estimate the IQR of the treadlives.
e) In planning a marketing strategy, a local tire dealer
wants to offer a refund to any customer whose tires
fail to last a certain number of miles. However, the
dealer does not want to take too big a risk. If the dealer
is willing to give refunds to no more than 1 of every
25 customers, for what mileage can he guarantee these
tires to last?
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