Expert answer:Probability: work each problem and show all work
Answer & Explanation:1.
Let
S = {1, 2, 3, 4, 5, 6}, E = {2, 4, 6}, F = {1, 3, 5}, an G = {3, 4} Are the
event F and G complementary?
2.
Let
S = {1, 2, 3, 4, 5, 6}, E = {1, 3, 5}, F = {2, 4, 6}, an G = {2, 3} Are the
event F and G mutually exclusive?
3.
Let
S = { x, y, and z} be a sample space of an experiment with the outcomes.
x, y, and z. List all the events of
this experiment.
4. An experiment
consists of selecting a card from a standard deck of playing cards and noting
whether the card is black (B) or red (R). Describe an appropriate sample space
for this experiment.
5.An experiment consists of
selecting a card from a standard deck of playing cards and noting whether the
card is black (B) or red (R). What are the events of this experiment?
6. An experiment consists of
tossing a coin, rolling a die, and observing the outcomes. Describe the event
“A head is tossed and an odd number is rolled.”
7. A sample of two transistors
taken from a local electronics store was examined to determine whether the
transistors were defective (d) or nondefective (n). What is an appropriate sample
space for this experiment?
8. In a television game show,
the winner is asked to select three prizes from five different prizes, A, B, C,
D, and E. Describing a sample space of possible outcomes (order is not
important) determine the number of points there are in the sample space
corresponding to a selection that includes A.
9. As part of a
quality-control procedure, an inspector at Bristol Farms randomly selects ten
eggs from each consignment of eggs he receives and records the number of broken
eggs. Describe the event F that at least nine eggs are broken.
10. Let S = {4, 5, 6} be a
sample associated with an experiment.
How many subsets of S contain
the number 5 and the number 6?
11. The following breakdown
of a total of 18,686 transportation fatalities that occured in 2007 was
obtained from records compiled by the U.S. Department of Transportation (DOT).
Mode of Transportation
Car
Train
Bicycle
Plane
Number of Fatalities
16,525
842
698
538
What is the probability that a victim randomly
selected from this list of transportation fatalities for 2007 died in a train
or a plane accident? Round answer to two decimal places.
12. In a survey of 900
likely voters, the following question was asked: Do you support using cameras
to identify red-light runners? The results of the survey follow:
Answer
Strongly support
Somewhat support
Somewhat oppose
Strongly Oppose
Don’t know
Respondents
410
212
95
164
19
What is the probability that a person in the
survey selected at random favors using cameras to identify red-light runners?
13. According to Mediamark
Research, 88 million out of 179 million adults in the United States correct
their vision by using prescription eyeglasses, bifocals, or contact lenses.
(Some respondents use more than one type.) What is the probability that an adult
selected at random from the adult population uses corrective lenses? Round your
answer to the nearest thousandth.
14. One light bulb is selected
at random from a lot of 110 light bulbs, of which 2% are defective. What is the
probability that the light bulb selected is defective?.
15. If a ball is selected at
random from an urn containing two red balls, three white balls, and five blue
balls, what is the probability that it will be a white ball?
16. What is the probability of
arriving at a traffic light when it is red if the red signal is flashed for 30
sec, the yellow signal for 5 sec, and the green signal for 40 sec?
17. The grade distribution
for a certain class is shown in the table.
Grade
A
B
C
D
F
Frequency of Occurrence
6
6
18
8
2
What is the probability that a student
selected at random from this class received a passing grade (D or better)?
18. In a sweepstakes sponsored
by Gemini Paper Products, 100,000 entries have been received. If 2 grand prize,
10 first prizes, 35 second prizes, and 600 third prizes are to be awarded, what
is the probability that a person who has submitted one entry will win a prize?
19. In a survey conducted
in 2007 of 954 adults 18 years old and older, the following question was asked:
How are American companies doing on protecting the environment compared with
companies in other countries? The results are summarized below:
Answer
Behind
Equal
Ahead
Don’t know
Respondents
382
236
240
96
If an adult in the survey selected at random,
what is the probability that he or she said that American companies are equal
or ahead on protecting the environment compared with companies in other
countries? Round your answer to two decimal places.
20. A study conducted by the
Corrections Department of a certain state revealed that 163,767 people out of a
total adult population of 1,799,738 were under correctional supervision (on
probation, parole, or in jail). What is the probability that a person selected
at random from the adult population in that state is under correctional
supervision?
How it works
- Paste your instructions in the instructions box. You can also attach an instructions file
- Select the writer category, deadline, education level and review the instructions
- Make a payment for the order to be assignment to a writer
- Download the paper after the writer uploads it
Will the writer plagiarize my essay?
You will get a plagiarism-free paper and you can get an originality report upon request.
Is this service safe?
All the personal information is confidential and we have 100% safe payment methods. We also guarantee good grades