Reference no: EM13117990
Probability in Situations Given
A company that has 327 employees chooses a committee of 17 to represent employee retirement issues. When the committee was formed, none of the 83 minority employees were selected.
1. Find the number of ways 17 employees can be chosen from 327.
2. Find the number of ways 17 employees can be chosen from 244 non-minorities.
3. If the committee was chosen randomly (without bias), what is the probability that it contained no minorities?
4. Does your answer to question 3 indicate that the committee selection process is biased?
Use the following information to answer problems 5-8.
A warehouse employs 47 workers on the first shift and 22 workers on the second shift.
Eleven workers are chosen at random to be interviewed about the work environment. Find the following probabilities.
5. The probability that all are first-shift workers.
6. The probability that all are second-shift workers.
7. The probability that there are five first-shift workers.
8. The probability that there are four second-shift workers.
Use the following information to answer problem 9.
The number of computers per household in a small town:
# of Computers 0 1 2 3
# of Households 453 272 109 40
9. Unusual values: A person lives in the small town described above and in a household with two computers. He claims that having two computers is unusual. Is this person correct? Why?
Use the following information to answer problems 10-15.
One in eight adults says he or she has no trouble sleeping at night. You randomly select six adults and ask if he or she has no trouble sleeping at night.
10. Construct a binomial distribution.
11. Graph the binomial distribution using a histogram.
12. Describe the shape of the histogram.
13. Find the mean of the binomial distribution.
14. Find the variance of the binomial distribution.
15. Find the standard deviation of the binomial distribution.
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Compute mean for probability distribution of breakdowns
: Puret grinder has required repair service according to the following distribution. Compute the mean, for the following probability distribution of the number of breakdowns per week.
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What is the pressure (in torr)
: A sample of gas has a volume of 1.55 L at 35 °C and 1.05 atm. What is the pressure (in torr) if the volume changes to 1.38 L and temperature to -28 °C.
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Free groups and free products
: Determine the elements of finite order in G_1 x G_2. Show that the free group on a set X has no elements of finite order ( other than the identity).
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Find out an expression for electric field strength outside
: The shell, with radius R and negligible thickness, has net charge - 4.00 q. Find out an expression for the electric field strength outside the sphere, r> R.
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Describe the shape of the histogram
: Describe the shape of the histogram. The probability that there are five first-shift workers. The probability that there are four second-shift workers.
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When reading or writing about fiction
: Provide ten essential questions that one should ask when reading or writing about fiction
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System of equation
: The Soccer Boosters club sells hotdogs and hamburgers at the games to raise funds for the soccer team. Chili Cheese Hotdogs sell for $3.00 and hamburgers sell for $2.50.
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Write a report on the recruitment and selection
: Write a report on the recruitment, selection and induction framework of employment within your organisation or an organisation of your choice.
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What it the temperature of the gas
: A tightly sealed 5.0 L flask contains argon at 69.0 deg. C and 781 mm Hg. The flask is heated until the pressure is doubled. What it the temperature of the gas.
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