3. The tread life (x) of tires follow normal distribution with µ = 60,000 and o=6000 miles. The manufacturer guarantees
Posted: Mon Jul 11, 2022 11:23 am
3. The tread life (x) of tires follow normal distribution with µ = 60,000 and o=6000 miles. The manufacturer guarantees the tread life for the first 52,000 miles. (i) What proportion of tires last at least 55,000 miles? (ii) What proportion of the tires will need to be replaced under warranty? (iii) If you buy 36 tires, what is the probability that the average life of your 36 tires will exceed 61,000? (iv) The manufacturer is willing to replace only 3% of its tires under a warranty program involving tread life. Find the tread life covered under the warranty.