1. According to Labor Statistics, 75% of the women 25 through 49 years of age participate in the labor force. Suppose 78% of the women in this age group are married. Suppose also that 61% of all women 25 – 49 years of age are married and are participating in the labor force. What is the probability that a randomly selected woman in this age group is not married and participating in the labor force?

2. A study by Becker Associates, a travel consultant, found that 30% of the traveling public said that their flight selections are influenced by perceptions of airline safety. Forty percent of the traveling public wants to know the age of the aircraft. Suppose 89% of the traveling public who say that their flight selections are influenced by perceptions of airline safety wants to know the age of the aircraft. What is the probability of randomly selecting a member of the traveling and finding out that he says that flight selection is neither influenced by perceptions of airline safety nor age of the aircraft?

3. In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 40% use flexible work arrangements. Suppose that of those companies that do not use flexible work arrangements, 11% give time off for volunteerism. In addition, suppose that of those companies that use flexible work arrangements, 62% give time off for volunteerism. If a company is randomly selected, what is the probability that the company does not use flexible work arrangements given that the company gives time off for volunteerism?

4. A telephone survey conducted by ABC Marketing Research company found that 43% of the subscribers expect to save more money next year than they saved last year. Forty-five percent of those surveyed plan to reduce debt next year. Of those who expect to save more money next year, 85% plan to reduce debt next year. A subscriber is randomly selected. What is the probability that this person expects...

...EPGDIB 2014-16
Business statistics class exercise 1
Business application problems of probability
Q1)Arthur Anderson enterprise group /National small business united ,Washington
conducted a national survey of small business owners to determine the challenges for growth for their businesses. The top challenge selected by 46% of the small business owners was the economy. A close second was finding qualified workers (37%) .Suppose
15% of the small business owners selected both economy and finding qualified workers as challenges for growth .A small business owner is randomly selected.
a)what is the probability that the owner believes the economy is a challenge for the growth, if the owner believes that finding qualified workers is a challenge for growth
b)What is the probability that the owner believes that finding a qualified worker is a challenge for growth if the owner believes that economy is a challenge for growth?
c)Given that owner does not select the economy as a challenge for growth ,what is the probability that the owner believes that finding qualified workers is a challenge for growth?
d)what is the probability that owner believes neither that economy is a challenge for growth nor that finding qualified workers is a challenge for growth?
Q2) The following probability matrix contains a breakdown on...

...Me1
ProblemSet #2
The US College Enrollment and the “Third Law of Demand”
A theorem proposed by Professors Alchian and Allen in their text, University Economics (1964) has had several rebirths of interest in the literature. The so-called “third law of demand,” or “relative price theorem,” holds that a fixed cost added to a good of varying quality causes the consumer to prefer the category considered of higher quality to the lower.
Recently a number of studies, keeping this theorem in mind have looked into a relationship between the ratio of public to private enrollment and unemployment in cross-sectional as well as in time series data. Part of the full cost of participating in higher education is foregone employment income. In their regression model, these studies have regressed the public/private ENROLLMENT RATIO (as an indicator of relevant demand) against UNEMPLOYMENT RATES (as an indicator of cost) as well as a number of variables designed to account for “other things” which tend to vary at the same time, such as income, financial aid and tuition ratios. Tuition ratio is typically specified as the ratio of the full cost (including forgone employment income) of public higher education (Pa) to private higher education (Pb), where Pa is less than Pb.
In Table 1, below, a cross-sectional model reveals the relationships between relative education demands by public and private university students (as measured by state level ENROLLMENT...

...EC 109
Autumn 2011
Dr. Mani
ProblemSet 2
Due Date: Oct31, Monday – between 9 & 11 AM in room S 2.132
Please keep a copy of your assignment and show all your work clearly.
(1) Mr. J. Bond, a retired movie actor, consumes only grapes and the composite good Y (i.e. price of Y is £1). His income consists of £10000 a year from his investment fund plus the proceeds of whatever he sells of the 2000 bushels of grapes he harvests annually from his vineyard in Tuscany. Last year, grapes sold at £2 per bushel and Bond consumed all 2000 bushels of his grapes, in addition to 10,000 units of Y. This year, the price of grapes is £3 per bushel (and the price of the composite good Y is the same as before). If Bond has well-behaved preferences, will his consumption of grapes this year be greater than, less than or the same as last year’s? How about his consumption of the composite good? (Hint: Graph both years’ budget constraints and think about whether last year’s bundle is affordable to Mr. R).
(2) Suppose Carmela’s income is £100 per week, which she allocates between sandwiches and books. Sandwiches cost £2 each. Books cost £10 each if she purchases between 1 and 5 books. If she purchases more than 5 books in a week, the price falls to £5 for the 6th book and all subsequent books. Draw the budget constraint. Is it possible that Carmela might have more than...

...Yue
Office: KRAN B024A
Office Hours: Monday 12 noon-1 pm &Tuesday 9-10 am.
Phone: 496-1458 email: kyue@purdue.edu
Course goal: We provide a broad overview of the microeconomic aspects of the international economy. We emphasize the development of analytical tools. We also show how we can apply these tools to questions with real-world relevance.
Prerequisites:
Econ 251, Econ 252 (Principles of Microeconomics, Principles of Macroeconomics)
Textbook:
1. Feenstra and Taylor, “International Trade”, 2nd Edition. We follow the textbook very closely in class and cover about 70% of its contents.
2. Yeaple, Study Guide for Feenstra and Taylor’s International Trade, 2nd Edition. We take many practice problems from the Study Guide.
5 copies of the textbook (2nd edition) and 5 copies of the Study Guide (2nd edition) are on reserve at Parrish (the management-and-econ library).
Distribution of homework and other materials:
Katalyst - https://webapps.krannert.purdue.edu/kap/
Course Grades:
Quizzes (best 5 out of 6) 30%
Homework Assignments (best 3 of 4) 25%
Extra Credit Questions 10%
Midterm (in class) 20%
Final Exam 25%
Dates for Quizzes, Homework Assignments, Review Sessions and Exams:
These dates are fixed and will not change. See the class calendar.
Course Materials:
This should be regarded as a likely (but not 100%-certain) schedule as some topics may run shorter or longer than...

...Energy
1. A man climbs on to a wall that is 5 m high and gains 2200 J of potential energy. What is the mass of the man?
Given: Formula:
h = 5 m m = PE/gh
PE = 2200 J
Solution:
m = 2200 J / (9.8 m/s2 x 5 m)
m = 49 kg
2. Calculate the kinetic energy of a 500 kg car travelling at 50 m/s.
Given: Formula:
m = 500 kg KE = mv2/2
v = 50 m/s
Solution:
KE = 500 kg x (50 m/s)2 / 2
KE = 625 000 J
Power
3. Riley climbs a flight of stairs in 3 minutes. If he weighs 700 N and the stairs is 20 m from the ground, how much power will she develop?
Given: Formula:
t = 3 mins = 180 s P = Wd/t
W = 700 N
d = 20 m
Solution:
P = 700 N x 20 m / 180 s
P = 77.8 J/s
4. How much power is developed by a car that runs 80 m/s when the force is equal to 50 000 N.
Given: Formula:
V = 80 m/s W = Fv
F = 50 000 N
Solution:
W = 50 000 N x 80 m/s
W = 4 000 000 J/s
Electricity
5. Charges of 6 and + 4 nC are 3 m apart. Determine the force they exert on each other, and the electric field at a point midway between them.
Given: Formula:
k = 9 x 109 Felec = k q1 q2 /r2
q1 = 6 x 109 C
q2 = 4 x 109 C
r = 3 m
Felec = (9 x 109)(6 x 109)(4 x 109)/32
Felec = 24 x 109 N
6. A 50 cm piece of nichrome wire is used in a home heating element. The cross sectional area of the wire is 0.05 mm2. What is the resistance of the heating element? If it is operated on household current (110 V),...

...BE 13.8
Vertical analysis (common-size) percentages for Vallejo Company’s sales, cost of goods sold, and expenses are listed below:
VERTICAL ANALYSIS 2012 2011 2010
Sales 100.0% 100.0% 100.0%
Cost of goods sold 60.5 62.9 64.8
Expenses 26.0 26.6 27.5
Net Income 13.5 10.5 7.7
Did Vallejo’s net income as a percent of sales increase, decrease, or remain unchanged over the 3 year period. Provide numerical support for your answer.
Sales – Cost of Goods Sold – Expenses = Net Income
100 – 64.8 – 27.5 = 7.7 for 2010
100 – 62.9 – 26.6 = 10.5 for 2011
100 – 60.5 – 26.0 = 13.5 for 2012
During the 3 year period of 2010-2012, the net income increased as a percent of sales for the Vallejo Company due to the decrease as a percent of sales in both the cost of goods sold and expenses every year.
BE 13.9
Horizontal analysis (trend-analysis) percentages for Spartan Company’s sales, cost of goods sold, and expenses are listed below:
VERTICAL ANALYSIS 2012 2011 2010
Sales 96.2% 104.8% 100.0%
Cost of goods sold 101.0 98.0 100
Expenses 105.6 95.4 100
Net Income (110.4) (88.6) 0
Explain whether Spartan’s net income as a percent of sales increase, decrease, or remain unchanged over the 3 year period.
Sales – Cost of Goods Sold – Expenses = Net Income
100 – 100 – 100 = 0.0 for 2010
104.8 – 98.0– 95.4 = -88.6 for 2011
96.2 – 101.0 – 105.6 = -110.4 for 2012
In 2010, the net income for the Spartan Company is 0. In 2011, the company’s net income decreased as a percent of...

...GENERAL BIOCHEMISTRY
ProblemSet No. 1
Answered by: Andrea Rose A. Fajardo of BSFT 2-1N
1. Calculate the pH of a dilute solution that contains a molar ratio of potassium acetate to acetic acid (pKa=4.76) of:
a. 2:1
pH = 4.76 + log[2]/[1]
= 4.76 + 0.3010
= 5.06
b. 1:4
pH = 4.76 + log[1]/[4]
= 4.76 + (-0.6021)
= 4.16
c. 6:5
pH = 4.76 + log[6]/[5]
= 4.76 + 0.0792
= 4.81
d. 2:3
pH = 4.76 + log[2]/[3]
= 4.76 + (-0.1761)
= 4.58
e. 9:1
pH = 4.76 + log[9]/[1]
= 4.76 + 0.9542
= 5.71
2. A buffer contains 0.01mol of lactic acid (pKa=3.86) and 0.05mol of sodium lactate per liter.
a. What is the resulting pH of the buffer?
pH = 3.86 + log[0.05]/[0.01]
= 3.86 + 0.6990
= 4.56
b. Calculate the change in pH when 5mL of 0.5M HCl is added to 1L of buffer.
5mL of 0.5 mol/L
5mL * 1L/1000mL = 0.005L
0.005L * 0.5 mol/L = 0.0025mol
NaC3H5O3 = 0.05mol - 0.0025mol = 0.0475
C3H5O3 = 0.01mol - 0.0025mol =0.0075
pH = 3.86 + log[0.0475]/[0.0075]
= 3.86 + 0.8016
= 4.66
• 4.55-4.66 = 0.11 is the change in pH
c. What pH change would you expect if you added the same quantity of HCl to 1L of pure...

...Descriptive Statistics and Probability Distribution ProblemSets
Emily Noah
QNT561
Anthony Matias
December 24, 2012
Descriptive Statistics and Probability Distribution ProblemsSets
Descriptive statistics and probability distribution is two ways to find information with certain data giving. In Descriptive statistics the data can give a mode, mean, median, and range by the numerical information, which is giving to find the information. In probability distribution the data is collected and this is the way to determine the outcome of the information.
Descriptive Statistics
In descriptive statistics this is where the mean, mode, median, and range can be found of different number to find the center of the information and to find the information, which is not the center. The mean stands for the total of the number information added together and divided by the number of the numbers. For example, a student has a 86%, 96%, 85%, and 90%, so the first thing is to add the percentages together which will give the student 357%, so the third step is to divide 357% by four because there were four different percentages. So the total of the student’s grade will be 89.25%, but the teacher would round the grade to an 89%. Median is the middle numbers added together after the numbers are arrange in order after you divide it by the number of numbers that are in the middle....

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