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| 1 | |
One out of three mini-vans sold by a nationwide auto dealer has a hidden defect in its transmission. What is the probability that a randomly selected purchaser of two mini-vans will wind up with at least one mini-van with a defective transmission? |
| | A) | 0.333 |
| | B) | 0.500 |
| | C) | 0.667 |
| | D) | 0.250 |
| | E) | 0.556 |
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| 2 | |
An experienced business-school graduate has an 80% probability of getting a particular job. An inexperienced business-school graduate has a 50% chance of getting the same job. 60% of business-school graduates are inexperienced. If the job is offered to a business-school graduate, what is the probability that the person was inexperienced? |
| | A) | 0.4 |
| | B) | 0.6 |
| | C) | 0.3 |
| | D) | 0.4839 |
| | E) | 0.6667 |
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| 3 | |
The probability that a customer will buy a product given that he or she has seen an advertisement for the product is 0.15. The probability that a consumer will see an ad for this particular product is 0.20. What is the probability that a consumer will both see the ad and buy the product? |
| | A) | 0.75 |
| | B) | 0.075 |
| | C) | 0.35 |
| | D) | 0.03 |
| | E) | 0.035 |
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| 4 | |
A particular company has twenty salespeople. How many ways can a group of three salespeople be chosen from this company? |
| | A) | 1140 |
| | B) | permutation of 20 chose 3 |
| | C) | combination of 20 chose 20 |
| | D) | 5700 |
| | E) | none of the above |
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| 5 | |
Suppose that two events A and B are mutually exclusive. We know that the probability of A is 0.4 and the probability of B is 0.2. The probability that either A or B (or both) will occur is: |
| | A) | 0.08 |
| | B) | 0.52 |
| | C) | 0.60 |
| | D) | 0 |
| | E) | none of the above |
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| 6 | |
Suppose that the probability of A is 0.7 and the probability of B is 0.4, and we know that the probability that both A and B will occur is 0.28. Then the two events are |
| | A) | unrelated to each other. |
| | B) | mutually exclusive. |
| | C) | independent. |
| | D) | dependent. |
| | E) | unable to occur at the same time. |
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| 7 | |
If the probability of A is 0.45 and the probability of both A and B is 0.15, then the probability that B will occur given that A has occurred is: |
| | A) | 3.00 |
| | B) | 1.00 |
| | C) | 1/3 |
| | D) | 1/9 |
| | E) | 0.675 |
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| 8 | |
The probability that I get job A is 0.45; the probability that I get job B is 0.60; and the probability that I get both the jobs is 0.30. The probability that I get at least one job offer is: |
| | A) | 0.30 |
| | B) | 0 |
| | C) | 1 |
| | D) | 0.55 |
| | E) | 0.75 |
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| 9 | |
The probability that event A will occur is 0.90 and the probability that event B will occur is 0.10. The two events are known to be mutually exclusive. The probability that both A and B will occur is: |
| | A) | 0 |
| | B) | 1 |
| | C) | 0.5 |
| | D) | 0.33 |
| | E) | insufficient information to determine |
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| 10 | |
The probability of a successful merger with a larger firm is 0.40. Given that a merger is successful, there is a 0.25 probability that profits next year will be high. What is the probability that both the merger will succeed and that profits next year will be high? |
| | A) | 0.10 |
| | B) | 1 |
| | C) | 0.15 |
| | D) | 0.625 |
| | E) | 1.6 |
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| 11 | |
Members of a special marketing project team have decided to break the work up into smaller portions and divide it among sub-groups. There are 7 team members. How many different sub-groups are possible if each sub-group: a) consists of 3 members; and b) has a sub-group chairperson and vice-chairperson? |
| | A) | 5040 |
| | B) | 210 |
| | C) | 187 |
| | D) | 35 |
| | E) | 6 |
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| 12 | |
MBA students at a private business school can, if they wish to do so, choose a concentration in one of three areas: real estate development, financial planning or marketing/promotions. For those students who don't wish to concentrate in a particular area, the school offers a generalist track. If an experiment consisted of randomly sampling a student in the MBA program, the sample space for the experiment would be described as _______________. |
| | A) | A: pursuing a concentration and  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582609/Ch2_q12.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>]]>: not pursuing a concentration |
| | B) | A: pursuing one concentration and <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582609/Ch2_q12.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>]]>: pursuing more than one concentration |
| | C) | A: concentrating in real estate development and <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582609/Ch2_q12.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>]]>: concentrating in either financial planning or marketing/promotions |
| | D) | A: concentration in real estate development and <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582609/Ch2_q12.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>]]>: concentration in another area |
| | E) | A: pursuing an MBA and <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582609/Ch2_q12.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a>]]>: not pursuing an MBA |
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