Suppose the dealer incentive per vehicle for honda's acura brand in 2012 is thought to be bell-shaped and symmetrical with a mea

Question

2 months ago

7

Suppose the dealer incentive per vehicle for honda's acura brand in 2012 is thought to be bell-shaped and symmetrical with a mea

n of $2500 anda standard deviation of $300. Based in this information,
what interval of dealer incentives would we expect approximately 99.7% of vehicles to fall within?

Mathematics

1 answer:

lawyer [12.5K] · Answer 1 · 2026-03-18T00:04:05+03:00

Answer:

Between $1600 and $3400.

Step-by-step explanation:

According to the Empirical Rule, for a normally distributed random variable:

68% of values are found within 1 standard deviation of the mean.

95% of values reside within 2 standard deviations of the mean.

99.7% of values lie within 3 standard deviations of the mean.

Given data indicates:

Mean = 2500

Standard deviation = 300

What range of dealer incentives would accommodate approximately 99.7% of vehicles?

By applying the Empirical Rule, 99.7% are found within 3 standard deviations from the mean. Therefore,[[@TAG_34]]From 2500 - 3*300 = 1600 to 2500 + 3*300 = 3400.