Week 5 Quiz
https://xlitemprod.pearsoncmg.com/api/v1/print/math Instructor: Denise James, Fresno Chair Garcia Assignment: Week 5 Quiz Course: Statistics for Decision Making (100)
Student: _____________________ Date: _____________________
1. A probability experiment consists of rolling a fair 15-sided die. Find the probability of the event below. rolling a number divisible by 6 The probability is
0.133
.
(Type an integer or decimal rounded to three decimal places as needed.) 2. Use the frequency distribution, which shows the number of American voters (in millions) according to age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range.
The probability that a voter chosen at random is in the 18 to 20 years old age range is
Ages 18 to 20 21 to 24 25 to 34 35 to 44 45 to 64 65 and over 0.04
Frequency 5.5 8.1 20.8 23.7 51.4 28.4
.
(Round to three decimal places as needed.) 3. Use the frequency distribution to the right, which shows the number of voters (in millions) according to age, to find the probability that a voter chosen at random is in the given age range. not between 25 and 34 years old
The probability is
0.845
Ages of voters Frequency 18 to 20 8.7 21 to 24 8.7 25 to 34 23.3 35 to 44 26.3 45 to 64 56.4 65 and over 26.6
.
(Round to three decimal places as needed.)
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Week 5 Quiz https://xlitemprod.pearsoncmg.com/api/v1/print/math 4. The table below shows the results of a survey in which 142 men and 144 women workers ages 25 to 64 were asked if they have at least one month's income set aside for emergencies. Complete parts (a) through (d). Men
Women
Total
Less than one month's income
65
83
148
One month's income or more
77
61
138
Total
142
144
286
(a) Find the probability that a randomly selected worker has one month's income or more set aside for emergencies. The probability is
0.483
. (Round to the nearest thousandth as needed.)
(b) Given that a randomly selected worker is a male, find the probability that the worker has less than one month's income. The probability is
0.458
. (Round to the nearest thousandth as needed.)
(c) Given that a randomly selected worker has one month's income or more, find the probability that the worker is a female. The probability is
0.442
. (Round to the nearest thousandth as needed.)
(d) Are the events "having less than one month's income saved" and "being male" independent or dependent? Independent Dependent 5. For the given pair of events, classify the two events as independent or dependent. Randomly selecting a customer at the movies Randomly selecting a customer eating popcorn Choose the correct answer below. A. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. B. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. C. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other. D. The two events are independent because the occurrence of one affects the probability of the occurrence of the other.
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Week 5 Quiz https://xlitemprod.pearsoncmg.com/api/v1/print/math 6. In a sample of 1200 U.S. adults, 204 dine out at a resaurant more than once per week. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S. adults, complete parts (a) through (d). (a) Find the probability that both adults dine out more than once per week. The probability that both adults dine out more than once per week is
0.029
.
(Round to three decimal places as needed.) (b) Find the probability that neither adult dines out more than once per week. The probability that neither adult dines out more than once per week is
0.689
.
(Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults dines out more than once per week. The probability that at least one of the two adults dines out more than once per week is
0.311
.
(Round to three decimal places as needed.) (d) Which of the events can be considered unusual? Explain. Select all that apply. A. The event in part (c) is unusual because its probability is less than or equal to 0.05. B. The event in part (a) is unusual because its probability is less than or equal to 0.05. C. None of these events are unusual. D. The event in part (b) is unusual because its probability is less than or equal to 0.05. 7. During a 52-week period, a company paid overtime wages for 17 weeks and hired temporary help for 8 weeks. During 5 weeks, the company paid overtime and hired temporary help. Complete parts (a) and (b) below. (a) Are the events "selecting a week that contained overtime wages" and "selecting a week that contained temporary help wages" mutually exclusive? No Yes (b) If an auditor randomly examined the payroll records for only one week, what is the probability that the payroll for that week contained overtime wages or temporary help wages? P(overtime wages or temporary help wages) =
0.385
(Round to the nearest thousandth as needed.)
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Week 5 Quiz https://xlitemprod.pearsoncmg.com/api/v1/print/math 8. The table below shows the results of a survey that asked 2856 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (e). Male Female Total
Frequently! ! ! 221 204 425
Occasionally 451 440 891
Not at all 796 744 1540
Total 1468 1388 2856
(a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved) = (Round to the nearest thousandth as needed.)
0.461
(b) Find the probability that the person is female or not involved in charity work at all. P(being female or not being involved) = 0.765 (Round to the nearest thousandth as needed.) (c) Find the probability that the person is male or frequently involved in charity work. P(being male or being frequently involved) = (Round to the nearest thousandth as needed.)
0.585
(d) Find the probability that the person is female or not frequently involved in charity work. P(being female or not being frequently involved) = (Round to the nearest thousandth as needed.)
0.923
(e) Are the events "being female" and "being frequently involved in charity work" mutually exclusive? Explain. A. No, because no females are frequently involved in charity work. B. Yes, because 204 females are frequently involved in charity work. C. Yes, because no females are frequently involved in charity work. D. No, because 204 females are frequently involved in charity work. 9. Perform the indicated calculation. 8 C3 11 C3 8 C3 11 C3
=
0.339
(Round to the nearest thousandth as needed.)
10. Outside a home, there is a 6-key keypad with letters A, B, C, D, E and F that can be used to open the garage if the correct six-letter code is entered. Each key may be used only once. How many codes are possible? The number of possible codes is
720
.
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Week 5 Quiz 11. Determine whether the random variable is discrete or continuous. a. The number of points scored during a basketball game. b. The time required to download a file from the Internet. c. The time it takes to fly from City A to City B. d. The square footage of a house. e. The number of free-throw attempts before the first shot is made.
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a. Is the number of points scored during a basketball game discrete or continuous? A. The random variable is discrete. B. The random variable is continuous. b. Is the time required to download a file from the Internet discrete or continuous? A. The random variable is discrete. B. The random variable is continuous. c. Is the time it takes to fly from City A to City B discrete or continuous? A. The random variable is continuous. B. The random variable is discrete. d. Is the square footage of a house discrete or continuous? A. The random variable is discrete. B. The random variable is continuous. e. Is the number of free-throw attempts before the first shot is made discrete or continuous? A. The random variable is continuous. B. The random variable is discrete.
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