Your Used Car Is Expected to Last an Average of 200,000
Your used car is expected to last an average of 200,000 miles with a standard deviation of 25,000 miles before it requires a new transmission.
a.Use Chebyshev's Theorem to approximate the probability that the engine will last between 150,000 miles and 250,000 miles.
b.Assume a symmetric bell-shaped distribution to approximate the probability that the engine will last between 150,000 miles and 250,000 miles.
The mean starting salary of recent business graduates at a university is $52,000 with a standard deviation of $16,000.The distribution of starting salaries is assumed to be symmetric and bell-shaped.
a.What proportion of business graduates has a starting salary between $20,000 and $84,000.
b.Suppose 600 business graduates from this university got hired.How many of them started with a salary between $20,000 and $84,000?
The following data represents motor vehicle theft rates per 100,000 people for the cities of Detroit,Michigan,Newark,New Jersey,St.Louis,Missouri,Oakland,California,Atlanta,Georgia,and Fresno,California.These six cities had the highest per-capita motor vehicle theft rates in the nation in 2010. a.What is the mean and median per-capita theft rates of the above cities?
b.Given the standard deviation of the per-capita crime rate in Detroit is 200 thefts per 100,000 use the empirical rule to calculate the probability Detroit has over 1800 thefts per 100,000 next year?
A luxury apartment complex in South Beach Miami is for sale.The owner has received the following offers in millions of dollars.
64 72 66 58 78 82
a.What is the mean offer price?What is the median offer price? Is the mean a good measure of central location?
b.What is the sample standard deviation of the offers?
c.What is equivalent to a 75th percentile offer?