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Suppose that 10,000 U.S. licensed drivers are randomly selected.

  • How many would you expect to be male?
  • Using the table or tree diagram from the previous exercise, construct a contingency table of gender versus age group.
  • Using the contingency table, find the probability that out of the age 20 - 64 group, a randomly selected driver is female.
  • 5140
  • 0.49
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Approximately 86.5% of Americans commute to work by car, truck or van. Out of that group, 84.6% drive alone and 15.4% drive in a carpool. Approximately 3.9% walk to work and approximately 5.3% take public transportation. ( Source: Bureau of the Census, U.S. Dept. of Commerce. Disregard rounding approximations. )

  • Construct a table or a tree diagram of the situation. Include a branch for all other modes of transportation to work.
  • Assuming that the walkers walk alone, what percent of all commuters travel alone to work?
  • Suppose that 1000 workers are randomly selected. How many would you expect to travel alone to work?
  • Suppose that 1000 workers are randomly selected. How many would you expect to drive in a carpool?
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Explain what is wrong with the following statements. Use complete sentences.

  • If there’s a 60% chance of rain on Saturday and a 70% chance of rain on Sunday, then there’s a 130% chance of rain over the weekend.
  • The probability that a baseball player hits a home run is greater than the probability that he gets a successful hit.
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Try these multiple choice questions.

The next two questions refer to the following probability tree diagram which shows tossing an unfair coin FOLLOWED BY drawing one bead from a cup containing 3 red ( R size 12{R} {} ), 4 yellow ( Y size 12{Y} {} ) and 5 blue ( B size 12{B} {} ) beads. For the coin, P ( H ) = 2 3 size 12{P \( H \) = { {2} over {3} } } {} and P ( T ) = 1 3 size 12{P \( T \) = { {1} over {3} } } {} where H = "heads" and T = "tails” .

Tree diagram with 2 branches. The first branch consists of 2 lines of H=2/3 and T=1/3. The second branch consists of 2 sets of 3 lines each with the both sets containing R=3/12, Y=4/12, and B=5/12.

Find P(tossing a Head on the coin AND a Red bead)

  • 2 3 size 12{ { {2} over {3} } } {}
  • 5 15 size 12{ { {5} over {"15"} } } {}
  • 6 36 size 12{ { {6} over {"36"} } } {}
  • 5 36 size 12{ { {5} over {"36"} } } {}

C

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Find P(Blue bead) .

  • 15 36 size 12{ { {"15"} over {"36"} } } {}
  • 10 36 size 12{ { {"10"} over {"36"} } } {}
  • 10 12 size 12{ { {"10"} over {"12"} } } {}
  • 6 36 size 12{ { {6} over {"32"} } } {}

A

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The next three questions refer to the following table of data obtained from www.baseball-almanac.com showing hit information for 4 well known baseball players. Suppose that one hit from the table is randomly selected.

NAME Single Double Triple Home Run TOTAL HITS
Babe Ruth 1517 506 136 714 2873
Jackie Robinson 1054 273 54 137 1518
Ty Cobb 3603 174 295 114 4189
Hank Aaron 2294 624 98 755 3771
TOTAL 8471 1577 583 1720 12351

Find P(hit was made by Babe Ruth) .

  • 1518 2873 size 12{ { {"1518"} over {"2873"} } } {}
  • 2873 12351 size 12{ { {"2873"} over {"12351"} } } {}
  • 583 12351 size 12{ { {"583"} over {"12351"} } } {}
  • 4189 12351 size 12{ { {"4189"} over {"12351"} } } {}

B

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Find P(hit was made by Ty Cobb | The hit was a Home Run)

  • 4189 12351 size 12{ { {"4189"} over {"12351"} } } {}
  • 114 1720 size 12{ { {"114"} over {"1720"} } } {}
  • 1720 4189 size 12{ { {"1720"} over {"4189"} } } {}
  • 114 12351 size 12{ { {"114"} over {"12351"} } } {}

B

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Are the hit being made by Hank Aaron and the hit being a double independent events?

  • Yes, because P(hit by Hank Aaron | hit is a double) = P(hit by Hank Aaron)
  • No, because P(hit by Hank Aaron | hit is a double) ≠ P(hit is a double)
  • No, because P(hit is by Hank Aaron | hit is a double) ≠ P(hit by Hank Aaron)
  • Yes, because P(hit is by Hank Aaron | hit is a double) = P(hit is a double)

C

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Given events G and H: P(G) = 0.43 ; P(H) = 0.26 ; P(H and G) = 0.14

  • Find P(H or G)
  • Find the probability of the complement of event (H and G)
  • Find the probability of the complement of event (H or G)

  • P(H or G) = P(H) + P(G) − P(H and G) = 0.26 + 0.43 − 0.14 = 0.55
  • P( NOT (H and G) ) = 1 − P(H and G) = 1 − 0.14 = 0.86
  • P( NOT (H or G) ) = 1 − P(H or G) = 1 − 0.55 = 0.45

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Questions & Answers

can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
Commplementary angles
Idrissa Reply
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Sherica
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Sherica
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Tamia
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
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Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
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if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
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Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
is it 3×y ?
Joan Reply
J, combine like terms 7x-4y
Bridget Reply
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yes
Asali
I'm not good at math so would you help me
Samantha
what is the problem that i will help you to self with?
Asali
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
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what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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1 It is estimated that 30% of all drivers have some kind of medical aid in South Africa. What is the probability that in a sample of 10 drivers: 3.1.1 Exactly 4 will have a medical aid. (8) 3.1.2 At least 2 will have a medical aid. (8) 3.1.3 More than 9 will have a medical aid.
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Source:  OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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