The average life of an electric scooter is 12 years with a standard deviation of 1.5 years. The manufacturer replaces for free a

Question

2 years ago

10

The average life of an electric scooter is 12 years with a standard deviation of 1.5 years. The manufacturer replaces for free a

ll scooters that fail while under a guarantee. If she is willing to replace 3.0% of the scooters that fail, how long of a guarantee (in years) should she offer

Mathematics

1 answer:

Dmitrij [34] · Answer 1 · 2023-03-29T02:39:37+03:00

The guarantee which should be given by the manufacturer in years is; 0.405years

<h3>Percentages and Averages</h3>

Since the average life of a scooter is 12 years with a standard deviation of 1.5 years.

Hence, the maximum life of any electric scooter is 13.5 years.

On this note, to offer a guarantee with the intention to replace only 3% of the scooters;

We must evaluate 3% of 13.5 years as follows;

Guarantee offer = 3% of 13.5 years

Guarantee offer = (3/100) × 13.5

Guarantee offer = 0.405 years