State police believe that 70% of the drivers traveling on a major interstate highway

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.

Hi there!

The graph of the following equation is attached down below.  

Step-by-step explanation:

Besides giving you the straight up answer I want you to understand how to do this problem so in the future you can do similar question alike.

The equation given is y = 1/2x.

So to start you can pick any number for x. For example you can choose x to be zero, if x =0, y=0 so your first coordinate point is (0,0)

And from there you can continue choosing values for x and plotting the coordinate points onto the graph until you can form a line. Usually two points is enough to form a line.