Mean and standard deviation for the relay team

Assignment Help Accounting Basics

Reference no: EM131008669

1. For a new type of tire, a NASCAR team found the av- erage distance a set of tires would run during a race is 168 miles, with a standard deviation of 14 miles. Assume that tire mileage is independent and follows a Normal model.

a) If the team plans to change tires twice during a 500-mile race, what is the expected value and standard deviation of miles remaining after two changes?

b) What is the probability they won't have to change tires a third time before the end of a 500-mile race?

2. In the 4 * 100 medley relay event, four swimmers swim 100 yards, each using a different stroke. A college team preparing for the conference championship looks at the times their swimmers have posted and creates a model based on the following assumptions:

The swimmers' performances are independent.
Each swimmer's times follow a Normal model.
The means and standard deviations of the times (in sec- onds) are as shown here.

Swimmer	Mean	SD
1 (backstroke)	50.72	0.24
2 (breaststroke)	55.51	0.22
3 (butterfly)	49.43	0.25
4 (freestyle)	44.91	0.21

a) What are the mean and standard deviation for the relay team's total time in this event?

b) The team's best time so far this season was 3:19.48. (That's 199.48 seconds.) What is the probability that they will beat that time in the next event?

Reference no: EM131008669

Questions Cloud

Economic policy dilemma facing the united states : You are to choose a major ECONOMIC POLICY DILEMMA facing the UNITED STATES COUNTRY and prepare a report which will be used as a policy briefing paper by a senior decision maker in business.

Construct comparative boxplots for the three samples : The cumulative frequency and the cumulative relation- Construct comparative boxplots for the three samples.

Find the work done for one rotation : Find the work done for one rotation-from t = 0 to t = 2π. Show your set up. but please use WolframAlpha to evaluate any resulting integrals.

What are the important time mile-stones for this project : Case Study - Viva Roma! What are the important time mile-stones for this project? Given these time milestones, when should Robert start on the project? Draw a network diagram and determine the earliest and latest starting and finishing times for al..

Mean and standard deviation for the relay team : What are the mean and standard deviation for the relay team's total time in this event? The team's best time so far this season was 3:19.48. (That's 199.48 seconds.) What is the probability that they will beat that time in the next event?

Provide a response for in business writing : Develop one idea per paragraph. In longer papers section and sub-section headings can be helpful - Starbucks's financial statements indicate that the company tries to insulate itself from exposure to currency and commodity fluctuations through hed..

Find the length of the cardioid : Find the length of the cardioid x(t) = 2 cos t - cos 2t, y(t) = 2 sint - 2sint - sin 2t for 0 ≤ t ≤ 2π.

Draw the model for auto fuel economy : Draw the model for auto fuel economy. Clearly label it, showing what the 68-95-99.7 Rule predicts about miles per gallon. In what interval would you expect the central 68% of autos to be found?the lowest 3%

Special treatment or attention : The pediatrician in Exercise 4 explains to the parents that the most extreme 5% of cases often require special treatment or attention. Does this child fall into that group?

User Account

All Pages