Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 41 months and a standard deviation of 5 months. Using the empirical rule (as presented in class), what is the approximate percentage of cars that remain in service between 46 and 51 months

Sagot :

raphealnwobi

Answer:

15.85%

Step-by-step explanation:

Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.

Given mean (μ) = 41 months, standard deviation (σ) = 5 months

One standard deviation = μ ± σ = 41 ± 5 = (36, 46)

Therefore 68% falls within 36 months and 41 months

Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)

Therefore 95% falls within 31 months and 51 months

Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)

Therefore 99.7% falls within 26 months and 56 months

The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.