Current Policy of the United States in Afghanistan | Online Assignment Help

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1. In each of the following, identify the individuals and the variable of interest, and classify the variable as continuous or discrete:

Lengths of boa constrictors

Lengths of drives using Top Flite golf balls

Colors of 2001 model year automobiles

Telephone numbers of United States residents

Miles per gallon of gasoline for automobiles

2. Suppose you know that 60% of registered voters support the current policy of the United States in Afghanistan. If that is the case, and X is the number of registered voters you will have to interview before finding a supporter of this policy, the probability function for X is given by:

x 1 2 3 4 5 6 or more

p(x) .60 .24 .10 .04 .01 .01

· What is the probability that you find a supporter of the Afghanistan policy in three or fewer tries?

· How likely is it that at least the first five people you interview do not like the current Afghanistan policy?

· What is the mean (expected value) number of voters you would have to interview to find a supporter of the policy? What is the variance?

3. In June 2001, a referendum was held in North Dakota. The question was whether to reverse a previous legislative action which allowed banking companies to employ an opt-out policy regarding their right to sell or otherwise make available information about customers to other companies. An opt-out policy basically forces the customers to actively ask not to have their information distributed by the bank. An opt-in policy forces the banks to ask for permission and not to distribute information unless the customer explicitly says it is okay. In the vote, the legislative action was overturned on a vote of 70% in favor of going back to the previous opt-in law. This action was, to say the least, disappointing to the banks. Suppose the views of the voters of North Dakota are in fact fairly universal, and that a SRS of 2000 people are interviewed.

· What is the expected number of respondents who will agree with the banks? What is the variance?

· What is the probability that at least 1450 of the respondents will side with the majority of the voters of North Dakota?

4. In order to gain acceptance to a medical school, a prospective medical student must take (and do well on) a standardized test called the MCAT. The test has four parts, three of which (physical sciences, verbal reasoning, biological sciences) are multiple choice tests whose scaled scores have range 1 to 15 and mean 8. The standard deviation for each of these three sections is 2. The random variables assigning scaled scores on the three parts are all normal distributions. (The fourth part is a writing sample and is not graded on the same sort of scale. We do not consider this part in this question.)

· Assuming the three random variables P (assigning scaled score on the physical sciences part), V (assigning verbal reasoning scores), and B (assigning biological sciences scores) are independent, what are the mean and standard deviation of the random variable T = P + V + B assigning total score on the three parts?

· Generally, a total score of at least 30 is needed (along with a high gpa) for admission. What proportion of the students taking the exam would be expected to score 30 or higher?

· If Tbar is the distribution of all sample means from samples of size 9 drawn from T, what are the mean and standard deviation of Tbar?

· If the about to graduate group of 9 aspiring medical students at Big State U average a total of 25, would that suggest this school has a stronger pre-med program than average? Explain.

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