Owners of a minor league baseball team believe that a Normal model is useful in projecting the number of fans who will attend home games. They use a mean of 8500 fans and a standard deviation of 1500 fans. Using this model, answer these questions. a. Sketch and clearly label this Normal model, based on the 68-95-99.7 Rule. b. What proportion of the home games will have fewer than 6000 fans in attendance

a)

On the figure attached we have the illustration for required showing the percentages and the limits for each case

b)

And using the normal standard table or excel we got:

Step-by-step explanation:

For this case we have the following properties:

Part a

And for this case from the empirical rule we know that within one deviation from the mean we have 68% of the values , within two deviation 95% and within 3 deviations 99.7%. So then we can find the limits like this:

On the figure attached we have the illustration for required showing the percentages and the limits for each case

Part b

For this case we want to find this probability:

We can calculate the number of deviation below the mean with the z score formula given by:

And replacing we got:

And using the normal standard table or excel we got:

mathpapa

step-by-step explanation: