The life time of a type of car is normally distributed with a mean of 17.5 years

Question

The life time of a type of car is normally distributed with a mean of 17.5 years and a standard deviation of 3.26 years. A random car of this type is selected.

a. Find the probability that the car’s lifetime is greater than 20 years.

b. Find the 75 percentile of car lifetimes.

c. Find the probability that the car’s lifetime is less than 16.5 years. d. Find the values a and b such that the middle 60% of the car lifetimes fall between a and b.

Part 2: The life time of another type of car is normally distributed with a mean of 17.5 years and a standard deviation of 3.26 years. A random car of this type is selected.

2a. Find the probability that the car’s lifetime is greater than 20 years. 2b. Find the 75 percentile of car lifetimes.

2c. Find the probability that the car’s lifetime is less than 16.5 years.

2d. Find the values a and b such that the middle 60% of the car lifetimes fall between a and b.

Explanation / Answer

The life time of a type of car is normally distributed with a mean of 17.5 years and a standard deviation of 3.26 years. A random car of this type is selected.

a. Find the probability that the car’s lifetime is greater than 20 years.

b. Find the 75 percentile of car lifetimes.

c. Find the probability that the car’s lifetime is less than 16.5 years. d. Find the values a and b such that the middle 60% of the car lifetimes fall between a and b.

Part 2: The life time of another type of car is normally distributed with a mean of 17.5 years and a standard deviation of 3.26 years. A random car of this type is selected.

2a. Find the probability that the car’s lifetime is greater than 20 years. 2b. Find the 75 percentile of car lifetimes.

2c. Find the probability that the car’s lifetime is less than 16.5 years.

2d. Find the values a and b such that the middle 60% of the car lifetimes fall between a and b.

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