1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aloiza [94]
3 years ago
14

West Virginia has one of the highest divorce rates in the nation with an annual rate of approximately 5 divorces per 1000 people

(Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year.
West Virginia has one of the highest divorce rates

a. Is this probability distribution valid?
SelectYesNoItem 1

Explain.

f(x) Selectgreater than or equal to 0less than or equal to 0greater than or equal to 1less than or equal to 1Item 2
?f(x) Selectequal to 1not equal to 1greater than 1less than 1Item 3
b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)?

c. What is the probability MCC will obtain fewer than 20 new clients(to 2 decimals)?

d. Compute the expected value and variance of x.

Expected value clients per year
Variance squared clients per year
Business
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

a. Yes. It is a probability density function because \sum f(x) =1

. b. probability MCC will obtain more than 30 new clients=P(40)+P(50)+P(60)= 0.20+0.35+0.20=0.75

c. probability MCC will obtain fewer than 20 new clients= P(10)= 0.05

d.

x f(x) x*f(x) x*x*f(x)

10 0.05 0.5 5

20 0.1 2 40

30 0.1 3 90

40 0.2 8 320

50 0.35 17.5 875

60 0.2 12 720

1 43 2050

expected value = \sum xf(x) = 43

Variance = 2050-43^2= 201

Explanation:

You might be interested in
11. Nadine is retiring at age 62 and expects to live to age 85. On the day she retires, she has $402,000 in her retirement savin
Svet_ta [14]

Answer:

E. $2,688.77

Explanation:

We need to calculate the PMT of an ordinary annuity at 6%

PV \div \frac{1-(1+r)^{-time} }{rate} = C\\

PV 402,000

time:

85 years - 62 years = 23 years of retirement

23 years  x   12 months per year = 276 months

rate: 6% annual rate we must divide over 12 months to convert into monthly: 0.06/12 = 0.005

402000 \div \frac{1-(1+0.005)^{-276} }{0.005} = C\\

C  $ 2,688.766

<em>She can withdraw 2,688.76 per month</em>

7 0
2 years ago
You are considering two ways of financing a spring break vacation. you could put it on your credit​ card, at 17 % ​apr, compound
shutvik [7]
<span>Credit card has slightly lower interest rate. Let's take a look at both interest rates for 1 year and see what costs more. First, the credit card at 17% apr compounded monthly. Each month, 17%/12 interest will be taken. The total interest over the year will be (1 + 0.17/12)^12 = 1.183891728 times the original debt. Now let's look at the loan from the parents. Over 1 year, you'll be accumulating 2 interest payments. The formula for the year will be (1 + 0.09)^2 = 1.1881 Comparing the overall rate between the credit card and the parents, the credit card is slightly lower than the parents.</span>
7 0
3 years ago
They are themselves always, and without any exception, the greatest spendthrifts in the society. Let them look well after their
mojhsa [17]

Answer: to protect the economic freedom of all of its citizens

Explanation:

The above quote by Adam Smith was him criticizing the common practice in those days of nations trying to control the spending habits of their citizens by passing restrictive laws and limiting the importation and production of certain goods and services.

It would therefore support the U.S. policy of protecting the economic freedom of her citizens such that they may trade whatever it is that they want - so long as it is legal - without restrictions by the government.

3 0
3 years ago
Explain how each of the following events changes the demand for or supply of jeans. A. Upper A new technology becomes available
Dima020 [189]

Answer:

A. Where a new technology that reduces the time it takes to manufacture a pair of jeans is available, it will leads to a change in supply. For example if a new machine is invented which decreases output per unit of time, there will decrease in the supply of a pair of jeans.

B. Where the price of the cloth (denim) used to make jeans rises, it will affect the change in the supply of jeans because an increase in the price of the raw materials used (denim) in making jeans, it will lead to a reduction in supply.

C. Where Jeans go out of fashion, it will cause a change in demand or supply because taste changes over time. For example, if jeans go out of fashion there would be a decrease in demand and supply for it.

D. Where the price of a pair of jeans falls, it will not affect the change in demand or supply of the jeans because a change in the price of a commodity is not a factor that causes a change in demand or supply.

E. Where the wage rate paid to garment workers falls, it will affect the change in the supply of jeans but will not affect the change in demand for jeans.

F. Where many jeans producers go out of business, it will affect the change in the supply of jeans but will not affect the change in demand for jeans.

H. Where people's incomes increase, it will affect the change in demand that leads to increase in demand for a pair of jeans

Explanation:

Causes of changes in demand and supply

Demand refers to the quantity of a commodity which consumers are willing and able to purchase at a particular price and at a particular period of time.

The Law of demand sates that 1) the higher the price of a commodity, the lower the quantity demanded, and  2) the lower the price of a commodity, the higher the quantity demanded.

The Change in demand (shift in the demand curve): There is a change in demand if the demand curve shifts to an entirely new position. A change in demand is determined by the factors affecting demand, other than price in a commodity. Factors affecting change in demand include changes in taste, fashion, population size, and income. 

The Supply of a commodity is the quantity of that commodity which sellers are willing and able to offer for sale at a particular price, at a particular period of time.

The Law of supply states that the higher the price of a commodity, the higher the quantity supplied while the lower the price of a commodity, the lower the quantity supplied.

The Change in supply (shift in the supply curve): There is a change in supply if the supply curve shifts to an entirely new position. A change in supply is determined by the factors affecting supply, other than price in a commodity. Factors affecting supply include Technological development, weather and climate, government policies/effects of subsidies and taxation, a new source of raw materials. A change in supply could be a decrease or increase in supply of a commodity. 

8 0
2 years ago
How does Apple advertise their Iphone 11 and become successful? It has to be a judgement on how successful they were.
crimeas [40]

Well, through commercials, but they were mainly successful because everyone (almost) knows and trusts Apple, so when the latest product is released, everyone flocks to it because it's new, cool, sleek, and awesome.

They also do partnerships with Verizon and Sprint or whatever.

3 0
2 years ago
Read 2 more answers
Other questions:
  • A perfectly competitive industry consists of many identical firms, each with a long-run average total cost of LATC = 800 – 10Q +
    5·1 answer
  • Builders Inc., Real Estate Broker, Inc., and Developers, Inc. form a business to purchase, develop, and build a shopping mall in
    10·1 answer
  • The primary measure of a nation's level of development is its _____.
    8·1 answer
  • Magnet Dot, a printer manufacturing company, set up a website to enable its customers to place orders online. It also set up an
    6·1 answer
  • WILL GIVE BRAINLIEST
    13·2 answers
  • If a check correctly written and paid by the bank for $272 is incorrectly recorded in the company's books for $227, how should t
    8·1 answer
  • Rowan Quinn Company manufactures kitchen appliances. Currently, it is manufacturing one of its components at a variable cost of
    14·1 answer
  • If the cost of the beginning work in process inventory is $50,000, direct materials cost is $340,000, direct labor cost is $206,
    6·1 answer
  • Cash receipts and cash disbursement budgets for a government: Should be prepared monthly or as needed to enhance cash management
    6·1 answer
  • For Accounting, I need help knowing how to journalize the following transaction:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!