State police believe that 70% of the drivers traveling on a major interstate highway exceed the speed limit. they plan to set up a radar trap and check the speeds of 80 cars. using the 68-95-99.7 rule, draw and label the distribution of the proportion of these cars the police will observe speeding.

a) From the empirical rule we know that about 68% of the samples are between:

95% of the sample proportions would be between:

And 99.7 % would be between these limits:

And the figure attached explain the results obtained.

b) i) Independence condition of all the cars

ii) np>10 , 80*0.7=56>10

n(1-p)= 80(1-0.7)=24>10

We have all the conditions so then the normal model can be used.

Step-by-step explanation:

Part a

For this case we assume that the true parameter of interest on this case is p= proportion of drivers traveling on a major interstate highway exceeding the spped limit. For this case the mean and the deviation for the proportion is given by:

From the empirical rule we know that about 68% of the samples are between:

95% of the sample proportions would be between:

And 99.7 % would be between these limits:

And the figure attached explain the results obtained.

b) Do you think the appropriate conditions necessary for your analysis are met? Explain.

We assume the following conditions:

i) Independence condition of all the cars

ii) np>10 , 80*0.7=56>10

n(1-p)= 80(1-0.7)=24>10

We have all the conditions so then the normal model can be used.

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

a

explanation: