Question3. Dumbop Tires manufactures a tire with a lletime that approximately follows a nowmal ilistribution with a mean of and a standari deviation of 4400 mifles, a. What proporion of the tires will last for at least 75,000 miles? b. Sumpose that Dumlop warrants the tires for 60,000 miles. What proportion of tires will last 60,000 miles or less? c. What is the probability that a randomly selected tire lasts between 65,000 and 80,000 miles? d. Suppose that Dunlop wants to warrant no more than of its tires. What mileage shomld the company advertise as its warranty milcage?
Studdy Solution
a. Approximately **12.71%** of tires will last at least **75,000 miles**.
b. Approximately **1.16%** of tires will last **60,000 miles** or less.
c. Approximately **86.13%** of tires will last between **65,000** and **80,000 miles**.
d. Dunlop should offer a warranty of approximately **60,980 miles**.
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