be stat exam 1

A lamp manufacturer designed five lamp bases and four lampshades that could be used together. How many different arrangements of base and shade can be offered?

20

A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new company president. What is the probability that all four members of the search committee will be women?

.002

A group of employees of Unique Services will be surveyed about a new pension plan. In-depth interviews with each employee selected in the sample will be conducted. The employees are classified as follows: Classification Event Number of Employees Supervisors A 120 Maintenance B 50 Production C 1,460 Management D 302 Secretarial E 68 What is the probability that the first person selected is classified as a maintenance employee?

.025

A gumball machine has just been filled with 50 black, 150 white, 100 red, and 100 yellow gumballs that have been thoroughly mixed. Sue and Jim each purchase one gumball. What is the likelihood that both Sue and Jim will get red gumballs?

.062

Each salesperson in a large department store chain is rated on his or her sales ability and potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. Potential for Advancement Fair Good Excellent Below average 16 12 22 Average 45 60 45 Above average 93 72 135 What is the probability that a salesperson selected at random will have average sales ability and good potential for advancement?

.12

Suppose P(A) = 0.40 and P(B | A) = 0.30. What is the joint probability of A and B?

.12

A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of the employees needed corrective shoes, 15% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work?

.2

If P(A) = 0.62, P(B) = 0.47, and P(A or B) = 0.88, then P(A and B) = _____.

.21

The aquarium at Sea Critters Depot contains 140 fish. Eighty of these fish are green swordtails (44 female and 36 male) and 60 are orange swordtails (36 female and 24 males.). A fish is randomly captured from the aquarium: What is the probability the selected fish is a male green swordtail?

.257

Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. Fair Good Excellent Below average 16 12 22 Average 45 60 45 Above average 93 72 135 What is the probability that a salesperson selected at random has above-average sales ability and has excellent potential for advancement?

.27

Each salesperson in a large department store chain is rated on his or her sales ability and potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. Fair Good Excellent Below average 16 12 22 Average 45 60 45 Above average 93 72 135 What is the probability that a salesperson selected at random will have an excellent potential for advancement given he or she also has average sales ability?

.3

Each salesperson in a large department store chain is rated on his or her sales ability and potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. Potential for Advancement Fair Good Excellent Below average 16 12 22 Average 45 60 45 Above average 93 72 135 What is the probability that a salesperson selected at random will have an excellent potential for advancement given he or she also has average sales ability?

.3

The aquarium at Sea Critters Depot contains 140 fish. Eighty of these fish are green swordtails (44 female and 36 male) and 60 are orange swordtails (36 female and 24 males.). A fish is randomly captured from the aquarium: What is the probability the selected fish is male?

.429

A study of 200 computer service firms revealed these incomes after taxes: Income After Taxes Number of Firms Under $1 million 102 $1 million up to $20 million 61 $20 million or more 37 What is the probability that a particular firm selected has $1 million or more in income after taxes?

.49

The events AA and BB are mutually exclusive. Suppose P(A)=0.30P(A)=0.30 and P(B)=0.20.P(B)=0.20. What is the probability that neither AA nor BB will happen?

.5

The events AA and BB are mutually exclusive. Suppose P(A)=0.30P(A)=0.30 and P(B)=0.20.P(B)=0.20. What is the probability of either AA or BB occuring?

.5

The aquarium at Sea Critters Depot contains 140 fish. Eighty of these fish are green swordtails (44 female and 36 male) and 60 are orange swordtails (36 female and 24 males.). A fish is randomly captured from the aquarium: What is the probability the selected fish is a green swordtail?

.571

A survey of top executives revealed that 35% of them regularly read Time magazine, 20% read Newsweek, and 40% read U.S. News & World Report. A total of 10% read both Time and U.S. News & World Report. What is the probability that a particular top executive reads either Time or U.S. News & World Report regularly?

.65

Recent surveys indicate 60% of tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing. Forty percent visited Xi'an with its magnificent terra-cotta soldiers, horses, and chariots, which lay buried for over 2,000 years. Thirty percent of the tourists went to both Beijing and Xi'an. What is the probability that a tourist visited at least one of these places?

.7

In a management trainee program, 80% of the trainees are female, while 20% are male. Ninety percent of the females attended college; 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who attended college?

.72

The aquarium at Sea Critters Depot contains 140 fish. Eighty of these fish are green swordtails (44 female and 36 male) and 60 are orange swordtails (36 female and 24 males.). A fish is randomly captured from the aquarium: What is the probability the selected fish is either a male or a green swordtail?

.743

A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed the following: Primary Color Number of Opinions Red 92 Orange 86 Yellow 46 Green 91 Blue 37 Indigo 46 Violet 2 What is the probability that a designer does NOT prefer red?

.77

If A and B are mutually exclusive events with P(A) = 0.2 and P(B) = 0.6, then P(A or B) = _____.

.8

The chair of the board of directors says, "There is a 50% chance this company will earn a profit, a 30% chance it will break even, and a 20% chance it will lose money next quarter." Use an addition rule to find the probability the company will not lose money next quarter.

.8

The chair of the board of directors says, "There is a 50% chance this company will earn a profit, a 30% chance it will break even, and a 20% chance it will lose money next quarter." Use the complement rule to find the probability it will not lose money next quarter.

.8

A new chewing gum has been developed that is helpful to those who want to stop smoking. If 60% of those people chewing the gum are successful in stopping smoking, what is the probability that in a group of four smokers using the gum at least one quits smoking?

.97

Suppose the two events A and B are mutually exclusive. What is the probability of their joint occurrence?

0

When applying the special rule of addition for mutually exclusive events, the joint probability is _______.

0

A tire manufacturer advertises, "The median life of our new all-season radial tire is 50,000 miles. An immediate adjustment will be made on any tire that does not last 50,000 miles." You purchased four of these tires. What is the probability that all four tires will wear out before traveling 50,000 miles?

0.0625

What does 6!2!4!3!6!2!4!3! equal?

10

The ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41, and 22. What is the population variance?

106.8

The test scores for a class of 147 students are computed. What is the location of the test score associated with the third quartile?

111

For a sample of similar-sized all-electric homes, the March electric bills were (to the nearest dollar): $212, $191, $176, $129, $106, $92, $108, $109, $103, $121, $175, and $194. What is the range?

120

The following are the weekly amounts of welfare payments made by the federal government to a sample of six families: $139, $136, $130, $136, $147, and $136. What is the range?

17

The National Center for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer, and 333 from heart disease. What is the probability that a particular death is due to an automobile accident?

24/883

In the following set of data: (1, 3, 5, 6, 7, 9, 100), what are the first, second, and third quartiles?

3,6,9

The sample variance of hourly wages was 10. What is the sample standard deviation?

3.16

The first card selected from a standard 52-card deck was a king. If it is NOT returned to the deck, what is the probability that a king will be drawn on the second selection?

3/51

The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection?

4/52

Using the following statistics to describe a distribution of data, what is the interquartile range? Minimum = 10 Q1 = 25 Median = 50 Q3 = 75 Maximum = 95

50

How many permutations of the three letters C, D, and E are possible?

6

According to Chebyshev's theorem, at least what percent of the observations lie within plus and minus 1.75 standard deviations of the mean?

67

An electronics firm sells four models of stereo receivers, three amplifiers, and six speaker brands. When the four types of components are sold together, they form a "system." How many different systems can the electronics firm offer?

72

Your favorite soccer team has two remaining matches to complete the season. The possible outcomes of a soccer match are win, lose, or tie. What is the possible number of outcomes for the season?

9

Based on the Empirical rule, what percent of the observations will lie between plus or minus two standard deviations from the mean?

95

If two events A and B are mutually exclusive, what does the special rule of addition state?

P(A or B) = P(A) + P(B)

What does the complement rule state?

P(A) = 1 − P(not A)

A purchasing agent for a trucking company is shopping for replacement tires for their trucks from two suppliers. The suppliers' prices are the same. However, Supplier A's tires have an average life of 60,000 miles with a standard deviation of 10,000 miles. Supplier B's tires have an average life of 60,000 miles with a standard deviation of 2,000 miles. Which of the following statements is true?

The life of Supplier B's tire is more predictable than the life of Supplier A's tires.

What does the interquartile range describe?

The range of the middle 50% of the observations

A sample of assistant professors on the business faculty at state-supported institutions in Ohio revealed the mean income to be $72,000 for nine months, with a standard deviation of $3,000. Using Chebyshev's theorem, what proportion of the faculty earns more than $66,000, but less than $78,000?

at least 75%

Which approach to probability assumes that events are equally likely? Multiple Choice Mutually exclusive Classical Empirical Subjective

classical

In a study of the gasoline mileage of model year 2016 automobiles, the mean miles per gallon was 27.5 and the median was 26.8. The smallest value in the study was 12.70 miles per gallon, and the largest was 50.20. The first and third quartiles were 17.95 and 35.45 miles per gallon, respectively. Determine the type of skewness.

positively skewed

The 67th percentile is ________.

the value below which 67% of the observations occur