You are given the following information:
The current price of copper is $83 per 100 lbs. The term structure of interest rates is flat at 5% per year continuously compounded. Assume there are no costs associated with storing copper and that the trader can borrow and lend at the riskless rate. The convenience yield for all maturities is 7% per year continuously compounded. Consider a forward contract in which the short position has to make two deliveries: 10,000 lbs of copper in one month and 10,000 lbs of copper in two months. The common delivery price is P. That is the short receives P dollars for delivery after one month and another P dollars for delivery after two months. Establish the fair value of this unusual forward contract. That is find the value for P. make sure to define all terms and to carefully explain how you arrived at your answer.
In: Finance
An unprepared student must take a 7-question, multiple-choice test that has 5 possible answers per question. If the student can eliminate two of the possible answers on the first three questions, and if she guesses on every question, what is the probability that she will answer at least one question correctly?
In: Accounting
7) Personal phone calls received in the last three days by a new employee were 4, 1, and 8. Assume that samples of size 2 are randomly selected with replacement from this population of three values. a) List the nine different possible samples of size 2 and find the mean of each of them. b) The probability for each sample mean in Part a) is 1/9. Summarize your results in Part a) by construct ing a sampling distribution for these sample means. c) Find the expected value based on Part b). This expected value is also the mean of all the nine sample means found in Part a). d) Find the population mean of the personal phone calls received in the last three days by a new employee: {2, 3, 7} and compare it with your result in Part c).
In: Math
1) In the game Super Vegas Lottery, four digits are drawn at
random one at a
time with replacement from 0 to 9.
In other words, there are 10 slips of paper in a jar, each with a
di erent digit printed
on it. A slip is drawn from the jar, the number written down, then
the slip is put back
into the jar, and the jar is shaken up. This process is repeated
three more times.
You win if any permutation of your numbers is drawn. What is the
probability that
you win if your numbers are:
(a) 6, 7, 8, 9
(b) 6, 7, 8, 8
(c) 7, 7, 8, 8
(d) 7, 8, 8, 8
Hint: How many outcomes are there in the outcome space? That is,
how many four-
digit permutations can be drawn from the jar? Each of these
outcomes is equally likely.
Consider your four digits. How many di erent permutations can be
formed from your
four digits? Use this information to calculate the probability of
winning.
In: Statistics and Probability
Calculate the pressure losses across the different sections of drill pipe and annulus by using the Bingham plastic fluid model (You must draw the wellbore structure chart: without the chart, 50% points will be deducted) PROBLEM: MD/TVD: 12,031 ft Surface casing: 2,135 ft of 133⁄8-in. 61 lb/ft Intermediate casing: 10,786 ft of 95⁄8-in. 40 lb/ft Bit: 85⁄8 in. Nozzles (32nds in.): 11, 11, 11 Surface connections: Case 3 Drill pipe: 41⁄2 in., 16.6 lb/ft Drill collars: 390 ft of 7 in. x 21⁄4 in. Surface pressure: 3,000 psi Mud weight: 12.8 lb/gal Funnel viscosity: 42 sec/qt Plastic viscosity: 19 cP Yield point: 15 lb/100 ft2 Initial gel: 8 lb/100 ft2 Flow rate: 335 gpm
In: Mechanical Engineering
Psychopaths tend to be cold and calculated, often not worrying about others or consequences so they are typically not anxious. You are curious whether anxiety scores for people are associated with psychopathy scores. To test this you survey 12 undergraduate students on their anxiety level (0 to 100, higher mean more anxious) and their score on a standard psychopathy measure (0 to 40, higher score indicated a higher level of psychopathy). The data is as follows:
|
person |
Anxiety |
Psychopathy |
|
1 |
75 |
5 |
|
2 |
50 |
15 |
|
3 |
27 |
20 |
|
4 |
60 |
10 |
|
5 |
5 |
19 |
|
6 |
5 |
21 |
|
7 |
6 |
15 |
|
8 |
71 |
3 |
|
9 |
2 |
30 |
|
10 |
9 |
17 |
|
11 |
3 |
12 |
|
12 |
10 |
18 |
3) Explain this relationship in every day terms (what would you say to a person who does not know anything about correlations).
In: Statistics and Probability
En-range Networks is a startup internet service provider in Japan that is aiming to provide faster internet access to Japanese citizens. The company has recently finished installing its main access node just south of Tokyo and has hired you to conduct speed tests and analyze the results.
To get some intial data, you decide to conduct latency tests from the newly completed node to random servers around the world. Your tests yield the following data:
|
|
To analyze this data, you decide to conduct a t-test to see if the mean of this data is above 35 ms, assuming that ?=.05.
What is the p-value of your t-test?
Can you say that the mean of the data is greater than 35?
In: Statistics and Probability
Rent'R Cars is a multisite car rental company in the city. It is trying out a new "return the car to the location most convenient for you" policy to improve customer service. But this means that the company has to constantly move cars around the city to maintain required levels of vehicle availability. The supply and demand for economy cars, and the total cost of moving these vehicles between sites, are shown below.
| From\To | D | E | F | G | Supply | ||||||
| A |
$15 |
$16 |
$14 |
$6 |
70 | ||||||
| B |
8 |
7 |
13 |
6 |
35 | ||||||
| C |
14 |
9 |
15 |
12 |
100 | ||||||
| Demand | 55 | 60 | 50 | 40 | 205\205 | ||||||
a. Find the solution that minimizes moving costs
using Microsoft Excel. (Leave no cells blank - be certain
to enter "0" wherever required.)
|
In: Statistics and Probability
Dog Bites Self-Esteem Shoe Extraversion 40yd
13 6 8 90 5.5
3 21 9 24 4.6
20 2 15 98 6.3
7 15 11 55 5.4
9 13 12 59 5.6
2 20 9 32 4.4
13 6 11 87 6.8
15 2 9 97 6.7
5 23 10 23 4.6
6 11 9 50 5.2
19 4 11 84 6.1
16 5 9 80 6.6
6 22 9 21 4.5
4 19 13 26 4.8
Give me the regression equation and the results of the statistical test (including null hypothesis tested and the decision reached) for this data (include null and decision) Want to predict the number of dog bites from self-esteem, shoe, extraversion, and 40 yd.Include SPSS
In: Math
Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females.
x (lb) 23 27 22 26 20 15 25 21 17 24 26 22 18 19
y (lb) 127 124 117 125 130 120 145 130 130 130 130 140 110 115
In this setting we have Σx = 305, Σy = 1773, Σx2 = 6819, Σy2 = 225,669, and Σxy = 38,803. (
a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to four decimal places.) x = y = b = ŷ = + x
(b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x, y). Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help Clear Graph Delete Layer Fill WebAssign Graphing Tool Graph LayersToggle Open/Closed After you add an object to the graph you can use Graph Layers to view and edit its properties.
(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) %
(d) Test the claim that the population correlation coefficient ρ is positive at the 1% level of significance. (Round your test statistic to three decimal places and your P-value to four decimal places.) t = P-value = Conclusion Reject the null hypothesis. There is sufficient evidence that ρ > 0. Reject the null hypothesis. There is insufficient evidence that ρ > 0. Fail to reject the null hypothesis. There is sufficient evidence that ρ > 0. Fail to reject the null hypothesis. There is insufficient evidence that ρ > 0.
(e) If a female baby weighs 15 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) lb
(f) Find Se. (Round your answer to two decimal places.) Se =
(g) Find a 99% confidence interval for weight at age 30 of a female who weighed 15 pounds at 1 year of age. (Round your answers to two decimal places.) lower limit lb upper limit lb
(h) Test the claim that the slope β of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places and your P-value to four decimal places.) t = P-value = Conclusion Reject the null hypothesis. There is sufficient evidence that β > 0. Reject the null hypothesis. There is insufficient evidence that β > 0. Fail to reject the null hypothesis. There is sufficient evidence that β > 0. Fail to reject the null hypothesis. There is insufficient evidence that β > 0.
(i) Find a 99% confidence interval for β and interpret its meaning. (Round your answers to three decimal places.) lower limit upper limit Interpretation For each pound less a female infant weighs at 1 year, the adult weight increases by an amount that falls within the confidence interval. For each pound more a female infant weighs at 1 year, the adult weight increases by an amount that falls within the confidence interval. For each pound less a female infant weighs at 1 year, the adult weight increases by an amount that falls outside the confidence interval. For each pound more a female infant weighs at 1 year, the adult weight increases by an amount that falls outside the confidence interval.
In: Statistics and Probability