The 2000 Ford F-150 truck transmission has normally distributed lifespan. It's mean is 150,000 miles and the Standard Deviation of 30,000 miles before it breaks down.
a. Determine the probability transmission will break down between 100,000 and 200,000 miles?
b. Determine the probability the transmission will break down before 120,000 miles?
c. Determine the probability the transmission will last more than 180,000 miles?
d. Determine the probability the transmission will break down before 150,000 miles?