In: Statistics and Probability
1)
A) The physical plant at the main campus of a large state
university recieves daily requests to replace florecent lightbulbs.
The distribution of the number of daily requests is bell-shaped and
has a mean of 45 and a standard deviation of 4. Using the
68-95-99.7 rule, what is the approximate percentage of lightbulb
replacement requests numbering between 45 and 57?
B) 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 45 months and a standard deviation of 3 months. Using the 68-95-99.7 rule, what is the approximate percentage of cars that remain in service between 36 and 39 months?
C) The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 60 and a standard deviation of 8. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 36 and 76?