The transmissions on a model of a specific car has a warranty of 40,000 miles. It is known that the life of such transmissions has a normal distribution with a mean of 72,000 miles and a standard deviation of 12,000 miles. A transmission is chosen at random.
a)What is the probability the transmission will fail before the end of the warranty period?
b)What is the probability the transmission will be good for more than 100,000 miles?
Mean = 72000 , standard deviation = 12000
