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The next three problems refer to the following situation: Suppose that a sample of 15 randomly chosen people were put on a special weight loss diet. The amount of weight lost, in pounds, follows an unknown distribution with mean equal to 12 pounds and standard deviation equal to 3 pounds. Assume that the distribution for the weight loss is normal.

To find the probability that the mean amount of weight lost by 15 people is no more than 14 pounds, the random variable should be:

  • The number of people who lost weight on the special weight loss diet
  • The number of people who were on the diet
  • The mean amount of weight lost by 15 people on the special weight loss diet
  • The total amount of weight lost by 15 people on the special weight loss diet

C

Find the probability asked for in the previous problem.

0.9951

Find the 90th percentile for the mean amount of weight lost by 15 people.

12.99

The next three questions refer to the following situation: The time of occurrence of the first accident during rush-hour traffic at a major intersection is uniformly distributed between the three hour interval 4 p.m. to 7 p.m. Let X size 12{X} {} = the amount of time (hours) it takes for the first accident to occur.

  • So, if an accident occurs at 4 p.m., the amount of time, in hours, it took for the accident to occur is _______.
  • μ = size 12{μ} {} _______
  • σ 2 = size 12{σ rSup { size 8{2} } } {} _______

What is the probability that the time of occurrence is within the first half-hour or the last hour of the period from 4 to 7 p.m.?

  • Cannot be determined from the information given
  • 1 6 size 12{ { { size 8{1} } over { size 8{6} } } } {}
  • 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}
  • 1 3 size 12{ { { size 8{1} } over { size 8{3} } } } {}

C

The 20th percentile occurs after how many hours?

  • 0.20
  • 0.60
  • 0.50
  • 1

B

Assume Ramon has kept track of the times for the first accidents to occur for 40 different days. Let C size 12{C} {} = the total cumulative time. Then C size 12{C} {} follows which distribution?

  • U ( 0,3 ) size 12{U \( 0,3 \) } {}
  • Exp ( 1 3 ) size 12{ ital "Exp" \( { { size 8{1} } over { size 8{3} } } \) } {}
  • N ( 60 , 5.477 ) size 12{N \( "60","30" \) } {}
  • N ( 1 . 5,0 . 01875 ) size 12{N \( 1 "." 5,0 "." "01875" \) } {}

C

Using the information in question #6, find the probability that the total time for all first accidents to occur is more than 43 hours.

0.9990

The next two questions refer to the following situation: The length of time a parent must wait for his children to clean their rooms is uniformly distributed in the time interval from 1 to 15 days.

How long must a parent expect to wait for his children to clean their rooms?

  • 8 days
  • 3 days
  • 14 days
  • 6 days

A

What is the probability that a parent will wait more than 6 days given that the parent has already waited more than 3 days?

  • 0.5174
  • 0.0174
  • 0.7500
  • 0.2143

C

The next five problems refer to the following study: Twenty percent of the students at a local community college live in within five miles of the campus. Thirty percent of the students at the same community college receive some kind of financial aid. Of those who live within five miles of the campus, 75% receive some kind of financial aid.

Find the probability that a randomly chosen student at the local community college does not live within five miles of the campus.

  • 80%
  • 20%
  • 30%
  • Cannot be determined

A

Find the probability that a randomly chosen student at the local community college lives within five miles of the campus or receives some kind of financial aid.

  • 50%
  • 35%
  • 27.5%
  • 75%

B

Based upon the above information, are living in student housing within five miles of the campus and receiving some kind of financial aid mutually exclusive?

  • Yes
  • No
  • Cannot be determined

B

The interest rate charged on the financial aid is _______ data.

  • quantitative discrete
  • quantitative continuous
  • qualitative discrete
  • qualitative

B

What follows is information about the students who receive financial aid at the local community college.

  • 1st quartile = $250
  • 2nd quartile = $700
  • 3rd quartile = $1200

(These amounts are for the school year.) If a sample of 200 students is taken, how many are expected to receive $250 or more?

  • 50
  • 250
  • 150
  • Cannot be determined

  • 150

The next two problems refer to the following information: P ( A ) = 0 . 2 size 12{P \( A \) =0 "." 2} {} , P ( B ) = 0 . 3 size 12{P \( B \) =0 "." 3} {} , A size 12{A} {} and B size 12{B} {} are independent events.

P ( A AND B ) = size 12{P \( A} {}

  • 0.5
  • 0.6
  • 0
  • 0.06

D

P ( A OR B ) = size 12{P \( A} {}

  • 0.56
  • 0.5
  • 0.44
  • 1

C

If H size 12{H} {} and D size 12{D} {} are mutually exclusive events, {} P ( H ) = 0 . 25 size 12{P \( H \) =0 "." "25"} {} , P ( D ) = 0 . 15 size 12{P \( D \) =0 "." "15"} {} , then P ( H | D ) size 12{P \( H} {}

  • 1
  • 0
  • 0.40
  • 0.0375

B

Questions & Answers

how environment affect demand and supply of commodity ?
Amos Reply
Wht at the criteria for market ?
Amos
what is difference between monitory policy and fiscal policy?
Malik Reply
monetary policy is a policy thrust by National Govt(CBN) to influence government spending, purchase &taxes
Frank
necessity of economics
Pamela Reply
I will say want,choice,opportunity cost,scarcity,scale of preference
Alao
what is monopoly market.How price output are determined under monopoly market
bisham
b) Monopoly market is an impecfect market where s single firm having the innovation to produce a particular commodity.Prices are determined through output since there are no other competitive.
Frank
Monopoly market:firm has market power & does not respond to market price
Frank
Explain the process of price determination under perfect competition market with suitable diagram
bisham Reply
Price determination under perfect competition via this process :firms have no market power to influence price rather firms respond to market price.
Frank
price is different from demand- demand is amount of commodity
Effah Reply
demand is amount /quantity of commodity a potential buyer is willing to buy at a given price at market
Frank
demand is a desire of customer on commodity with the ability to pay it and willing to buy it at given price of commodity
Harika
demand is price of what
Faith Reply
show that shortrun average cost
Baby Reply
what is economics
Mbah Reply
what is money
Mbah
what is money
Mbah
Difine macro economics
agaba
money is a medium of exchange between goods and services,maybe inform of currency.
Wesonga
Economics is study of how human beings strive to satisfy numerous wants using limited available resources.
Wesonga
how do you find the maximum number of workers the firms should employ order to produce where there are increasing returns
Jane
what are implications of computing national income?.
agaba
pl
MUDASIRU
what is the formulae for calculating national income
MUDASIRU
it calculated by value added method
Praveen
classify the production units like agriculture, banking, transport etc
Praveen
money is anything that is generally acceptetable for human
Ogbaji
Estimate the net value added(NVA) at fixed cost by each industrial structure
Praveen
definition of unemployment
Adam Reply
what are the causes of unemployment?
Mbubi Reply
The main causes of unemployment are listed below. 1. Frictional unemployment 2. Cyclical unemployment 3. Structural unemployment
assani
We can also categorize the causes on a broader sense as: 1. Political and 2. Social cause As unemployeement root causes are embaded in this two.
Yonathan
would opportunity cost exist if there was no scarcity?
assani
yes just because the opportunity cost arose when there is Alternative to choose among the alternatives.
BADAMASIU
I am thinking that, if our resources were unlimited, then there wouldn't be any need to forgo some wants. Hence the inexistence if opportunity cost
assani
Politics
Job
politics has done what?
assani
consider time assani
Mary
I'm Emmanuel,...I taught the main cause is the change in gov't.
Emmanuel
...Lack of capital to set up a firm respectively
Emmanuel
🙈
Emmanuel
I would like to bring in Educational levels can also be the cause the cause of the problem respectively
Emmanuel
I think the main causes of unemployment is lack of INFRASTRUCTURAL DEVELOPMENT OVER POPULATION OVER DEPENDENT ON GOVERNMENT LACK OF SELF EMPOWERMENT...
ananti
lack of skills among the new generation is the serious issue.
Vishal
Where I come from , I don't see why education or personal aspects seem to do with unimployment, technically the motivation and eigerness in all works of live is there , dispite the cultural influence and physical bearriors;the thing we lacking is Government Support and open market ethics.
Joe
sorry about that-(repation). We have a over powering ethical political system that's displacing the marketing asspects of economy and causing large scale unemployment right across the board...
Joe
can someone Explain Expansionary Monetary Policy and Contractionary Monetary Policy Using one of the instrument of Monetary Policy? Please am kinda lost here?. ta
Emmanuel Reply
using a graph show the case of substitute and compliment goods
Ade Reply
can anyone give me a simple explanation to Five Sector Macroeconomics?
Emmanuel
Can someone please define what economics is
jason Reply
economics simply is a social science subject that study human behavior.
dajan
economics is a social science which studies human behaviour as a relationship between ends and scarce means that has alternative uses
Alao
Can someone please tell me how to calculate GDP
Emmanuel
emmanual kapal to calculate GDP (Gross Domestic Product) has three method in calculating it (1)income approach (2) expenditure approach (3) value added method
Alao
thanks Alae
Emmanuel
u are welcome
Alao
in basic terms economics is revered to as battery system, it date back to when Men sees the need to exchange sapless goods and produce to gain , either wealth , basic necessities or to establish trading ties for personal benefit or social asspects in terms of coexistence and continuity, future .
Joe
what is the law of demand
Berlinda Reply
keep other thing constant, when the price increases demand decrease when the price decreases demand increases of the commodity.
sj
all things being equal,quantity demanded decrease as price increase and increase as price decrease
Seth
there's practial joke to it ..." the higher the demand ; scarcity, increase in production and drop in quality"... quite the controversy - for example China vs Europe, United States and we are all boxed up in between somewhere...
Joe
Other thing remain constant the low price of commodity the high quantity of commodity and vice versa is true
Baraka
Explain Effective demand
Anita Reply
What is effective demand
Anita
like Modi is in demand...best example of effective demand
Pranav
Don't get you
Anita
Anita you mean you don't get me or who?
Onyeking
level of demand that represents a real intention to purchase by people with the means to pay
Pranav
in a comparison of the stages of meiosis to the stage of mitosis, which stages are unique to meiosis and which stages have the same event in botg meiosis and mitosis
Leah Reply
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Source:  OpenStax, Collaborative statistics (with edits: teegarden). OpenStax CNX. Jul 20, 2009 Download for free at http://legacy.cnx.org/content/col10561/1.3
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