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free/or 0.5$ |
| m102845 | USA Today reported that the U.S. (annual) birthrate is about 16 per 1000 people, and the death rate is about 8 per 1000 people.
(a) Explain why the Poisson probability distribution would be a good choice for the random variable r = number of births (or deaths) for a community of a given population size.
(b) In a community of 1000 people, what is the (annual) probability of 10 births? What is the probability of 10 deaths? What is the probability of 16 births? 16 deaths?
(c) Repeat part (b) for a community of 1500 people. You will need to use a calculator to compute P(10 births) and P(16 births).
(d) Repeat part (b) for a community of 750 people. |
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| m102846 | USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees.
(a) Find the probability P(r) of r successes ranging from 0 to 4.
(b) Make a histogram for the probability distribution of part (a).
(c) What is the expected number of parolees in Alice s group who will not be repeat offenders? What is the standard deviation?
(d) How large a group should Alice counsel to be about 98% sure that three or more parolees will not become repeat offenders? |
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| m102847 | USA Today reports that the average expenditure on Valentine s Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $135.67, and the average expenditure in a sample survey of 30 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers is assumed to be $20.
a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females?
b. At 99% confidence, what is the margin of error?
c. Develop a 99% confidence interval for the difference between the two population means. |
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| m102848 | Use cutpoint grouping with a first class midpoint of 0.5 and a class width of 1.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102849 | Use cutpoint grouping with a first class of 10-under 15.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102850 | Use cutpoint grouping with a first class of 40-under 46.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102851 | Use cutpoint grouping with a first cutpoint of 25 and a class width of 3.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102852 | Use five lines per stem.
Construct a stem-and-leaf diagram for the data, using the specified number of lines per stem. |
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| m102853 | Use limit grouping with a first class of 0-4 and a class width of 5.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102854 | Use limit grouping with a first class of 0-9 and a class width of 10.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102855 | Use limit grouping with a first class of 30-36 and a class width of 7.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102856 | Use limit grouping with a first class of 30-36 and a class width of 7.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102857 | Use one line per stem.
Construct a stem-and-leaf diagram for the data, using the specified number of lines per stem. |
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| m102858 | Use one line per stem.
Construct a stem-and-leaf diagram for the data, using the specified number of lines per stem. |
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| m102859 | Use Procedure 5.1 on page 242 to solve part (g) of Exercise 5.65.
In Procedure 5.1
Step 1 Identify a success.
Step 2 Determine p, the success probability.
Step 3 Determine n, the number of trials.
Step 4 The binomial probability formula for the number of successes, X, is |
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| m102860 | Use Procedure 5.1 on page 242 to solve part (g) of Exercise 5.66.
In Procedure 5.1
Step 1 Identify a success.
Step 2 Determine p, the success probability.
Step 3 Determine n, the number of trials.
Step 4 The binomial probability formula for the number of successes, X, is |
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| m102861 | Use. Refer to Exercise 4.112.
In E 4.112
The Federal Highway Administration compiles information on motor vehicle use around the globe and publishes its findings in Highway Statistics. Following is a contingency table for the number of motor vehicles in use in North American countries, by country and type of vehicle, during one year. Frequencies are in thousands.
a. For a randomly selected vehicle, describe the events C1, V3, and (C1 & V3) in words.
b. Compute the probability of each event in part (a).
c. Compute P(C1 or V3), using the contingency table and the f/N rule.
d. Compute P(C1 or V3), using the general addition rule and your answers from part (b).
e. Construct a joint probability distribution. |
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| m102862 | Use single-value grouping.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102863 | Use single-value grouping
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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| m102864 | Use single-value grouping.
a. Determine a frequency distribution.
b. Obtain a relative-frequency distribution.
c. Construct a frequency histogram based on your result from part (a).
d. Construct a relative-frequency histogram based on your result from part (b). |
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