A tire manufacturer advertises, "the median life of our new all-season radial tire is 50,000 miles. An immediate adjustment will be made on any tire that does not last 50,000 miles." You purchased four of these tires. What is the probability that all four tires will wear out before traveling 50,000 miles?
A) 1/10 or 0.10
B) ¼ or 0.25
C) 1/64 or 0.0156
D) 1/16 or 0.0625

Question

Quizplus · Accepted Answer

The median life of the tires is 50,000 miles, meaning 50% of the tires last less than 50,000 miles. The probability that one tire wears out before 50,000 miles is 0.5. For all four tires to wear out before 50,000 miles, the probability is (0.5)^4 = 1/16 or 0.0625.

A Tire Manufacturer Advertises, "The Median Life of Our New