Assume that the duration of human pregnancies can be described by a Normal model with mean 268 days and standard deviation 14 days.

​a) What percentage of pregnancies should last between 274 and 281 days? (Round to two decimal places as needed.)

​b) At least how many days should the longest 25​% of all pregnancies​ last? (Round to one decimal place as needed.)

​c) Suppose a certain obstetrician is currently providing prenatal care to 58 pregnant women. Let y overbar represent the mean length of their pregnancies. According to the Central Limit​ Theorem, what's the distribution of this sample​ mean, y overbar​? Specify the​ model, mean, and standard deviation.

A. A normal model with mean ___ and standard deviation ___. (Type integers or decimals rounded to two decimal places as needed.)

B. A binomial model with ___ trials and a probability of success of ___. (Type integers or decimals rounded to two decimal places as needed.)

C. There is no model that fits this distribution.

​d) What's the probability that the mean duration of these​ patients' pregnancies will be less than

258 days?

- The probability that the mean duration of these patients' pregnancies will be less than 258 days is ___. (Round to four decimal places as needed.)

​days?

The relationship between the number of beers consumed in two hours (x) and blood alcohol content (y) was studied in 26 male college students by using least squares regression. The students studied consumed between 1 and 4 beers in the study. The following regression equation was obtained from this study:

yˆ=−0.0127+0.0180xy^=-0.0127+0.0180x

Answer the following (each is equally weighted):

1. Identify the explanatory and response variables.

2. According to the line of best fit, what would be the predicted blood alcohol content after consuming 3 beers in two hours? Round your answer to two decimal places, as needed.

3. Would it be appropriate to use this model to predict the blood alcohol content after seven beers? Why or why not (remember to include appropriate terminology).

The followings table gives information on GPAs (grade point average) and starting salaries (rounded to the nearest thousand dollars) of seven recent college graduates.  

1) Predict the starting salary for a student graduating with a 3.60 GPA. (Enter your answer in thousands of dollars rounded to two decimal places. Such as 12,345.67)

2) Predict the starting salary for a student graduating with a 2.10 GPA. (Enter your answer in thousands of dollars rounded to two decimal places. Such as 12,345.67)

3) Predict the starting salary for a student graduating with a 3.95 GPA. (Enter your answer in thousands of dollars rounded to two decimal places. Such as 12,345.67)

The followings table gives information on GPAs (grade point average) and starting salaries (rounded to the nearest thousand dollars) of seven recent college graduates.  

1) Predict the starting salary for a student graduating with a 3.60 GPA. (Enter your answer in thousands of dollars rounded to two decimal places. Such as 12,345.67)

2) Predict the starting salary for a student graduating with a 2.10 GPA. (Enter your answer in thousands of dollars rounded to two decimal places. Such as 12,345.67)

3) Predict the starting salary for a student graduating with a 3.95 GPA. (Enter your answer in thousands of dollars rounded to two decimal places. Such as 12,345.67)

Run two different multiple regressions using excel. One should include two of the three idepenedent variables and the other should include all three variables. What are the regession equations?

Run two different multiple regressions using excel. One should include two of the three idepenedent variables and the other should include all three variables. The first multiple regression equation is Gross Revenue = 766.981 + 2.977*Daily Tour Income - 12.31*Number of Tourists.

1. What is the second multiple regression equation?  

Would adding dummy variables for the three days for my second regression work? l  need 2 dummy variables since I have 3 categories (days, in this case). What would the equation look like? What's the regression table using excel?

Suppose that we have two bags each containing black and white balls. One bag contains two times as many white balls as black balls. The other bag contains two times as many black balls as white. Suppose we choose one of these bags at random. For this bag we select five balls at random, replacing each ball after it has been selected. The result is that we find all balls are white balls. What is the probability that we were using the bag with mainly black balls?

Assume a two-person, two-good economy. Holding the price of one commodity as numéraire, describe analytically how the price mechanism coordinates the economy. Derive Walras’ law for the two-good economy and discuss its policy implications.

Set up 4 different configurations of charges: two opposite charges, two lines of opposite charges, one cluster of charges and a line of charges, and one configuration of your choice.

For each configuration do the following:

a) Sketch on a separate piece of paper the configuration. Use the whole page.

b) Sketch out at least 10 different equipotential lines by using the voltage probe. (label them)

c) Sketch out at least 10 different electric field lines. (crossing at right angles to the equipotential lines and running from the high to low charge.

d) Mark at 3 places on 3 of the E-field lines the strength of the E-field.

3. One year treasuries yield 5% and two year Treasuries yield 5.50%. You have a two year time horizon. You are considering a one year roll of Treasuries. What would you have to get in the second year to beat just holding the two year Treasury? (Carry your answer out three decimal places.)
4. What are the components of a bond?
5. Assume Capital Inc has an outstanding 15 year bond with a 10% coupon (annual pay) with a par value of $1000. The market yield for this bond is 15%. What is the price/present value of the bond? If the bond is callable in ten years at 102 what would the yield to the call be given the price you calculated above.