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.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

all persons born or naturalized in the united states and subject to the jurisdiction thereof, are citizens of the united states and of the state wherein they reside. no state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the united states; nor shall any state deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.

There is no graph but what i can say is that 1 is the slope and that -2 is the y- intercept