A car manufacturer investigates failure mileages for the motors of its cars. It is known that...
A car manufacturer investigates failure mileages for the motors of its cars. It is known that the motor failure mileages follow a normal distribution with a mean of 150,000 miles and standard deviation of 25,000.
a. In order to design the car warranty, the manufacturer needs to know what is the failure mileages by which 1% of the motors are expected to fail (rounded to whole miles).
b.What is the probability that a motor does not fail until 200,000 miles or more (rounded to two decimals)?
c.Which of the following data sets have the same mean and standard deviation as the random variable suggested by Peter?
i. 0, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4
ii.0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4
iii. 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4
iv. 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4
v.None of the above
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A car manufacturer investigates failure mileages for the motors
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