The following table identifies a group of children by one of four hair colors, and by type of hair.
Hair Type
Brown
Blond
Black
Red
Totals
Wavy
20
15
3
43
Straight
80
15
12
Totals
20
215
Complete the table above.
What is the probability that a randomly selected child will have wavy hair?
What is the probability that a randomly selected child will have either brown or blond hair?
What is the probability that a randomly selected child will have wavy brown hair?
What is the probability that a randomly selected child will have red hair, given that he has straight hair?
If B is the event of a child having brown hair, find the probability of the complement of B.
In words, what does the complement of B represent?
$\frac{43}{215}$
$\frac{\text{120}}{\text{215}}$
$\frac{20}{215}$
$\frac{12}{172}$
$\frac{\text{115}}{\text{215}}$
A previous year, the weights of the members of the
San Francisco 49ers and the
Dallas Cowboys were published in the
San Jose Mercury News . The factual data are compiled into the following table.
Shirt#
≤ 210
211-250
251-290
290≤
1-33
21
5
0
0
34-66
6
18
7
4
66-99
6
12
22
5
For the following, suppose that you randomly select one player from the 49ers or Cowboys.
Find the probability that his shirt number is from 1 to 33.
Find the probability that he weighs at most 210 pounds.
Find the probability that his shirt number is from 1 to 33 AND he weighs at most 210 pounds.
Find the probability that his shirt number is from 1 to 33 OR he weighs at most 210 pounds.
Find the probability that his shirt number is from 1 to 33 GIVEN that he weighs at most 210 pounds.
If having a shirt number from 1 to 33 and weighing at most 210 pounds were independent events, then what should be true about
$\text{P(Shirt\# 1-33 | \u2264 210 pounds)}$ ?
Approximately 281,000,000 people over age 5 live in the United States. Of these people, 55,000,000 speak a language other than English at home. Of those who speak another language at home, 62.3% speak Spanish. (
Source: http://www.census.gov/hhes/socdemo/language/data/acs/ACS-12.pdf )
Let:
$E$ = speak English at home;
$\mathrm{E\text{'}}$ = speak another language at home;
$S$ = speak Spanish;
Finish each probability statement by matching the correct answer.
Probability Statements
Answers
a. P(E') =
i. 0.8043
b. P(E) =
ii. 0.623
c. P(S and E') =
iii. 0.1957
d. P(S|E') =
iv. 0.1219
iii
i
iv
ii
The probability that a male develops some form of cancer in his lifetime is 0.4567 (Source: American Cancer Society). The probability that a male has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51 (Source: USA Today). Some of the questions below do not have enough information for you to answer them. Write “not enough information” for those answers.
Let:
$C$ = a man develops cancer in his lifetime;
$P$ = man has at least one false positive
Construct a tree diagram of the situation.
$\mathrm{P(C)}$ =
$P\mathrm{(P|C)}$ =
$P\mathrm{(P|C\text{'}\; )}$ =
If a test comes up positive, based upon numerical values, can you assume that man has cancer? Justify numerically and explain why or why not.
In 1994, the U.S. government held a lottery to issue 55,000 Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately 6.5 million people who entered this lottery. Let
$\text{G = won Green Card}$ .
What was Renate’s chance of winning a Green Card? Write your answer as a probability statement.
In the summer of 1994, Renate received a letter stating she was one of 110,000 finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate’s chance of winning a Green Card? Let
$\text{F = was a finalist}$ . Write your answer as a conditional probability statement.
Are
$G$ and
$F$ independent or dependent events? Justify your answer numerically and also explain why.
Are
$G$ and
$F$ mutually exclusive events? Justify your answer numerically and also explain why.
P.S. Amazingly, on 2/1/95, Renate learned that she would receive her Green Card -- true story!
$P(G)=0\text{.}\text{008}$
0.5
dependent
No
Questions & Answers
can someone help me with some logarithmic and exponential equations.
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
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.
Source:
OpenStax, Collaborative statistics (custom lecture version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11543/1.1
Google Play and the Google Play logo are trademarks of Google Inc.
Notification Switch
Would you like to follow the 'Collaborative statistics (custom lecture version modified by t. short)' conversation and receive update notifications?