Zusammenfassung der Ressource
Frage 1
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A physics exam consists of 9 multiple choice questions and 6 open-ended problems in which all work must be shown. If an examinee must answer 7 of the multiple choice question and 3 of the open ended problems, in how many ways can the questions and problems be chosen?
Antworten
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720
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1134
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21,772, 800
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261,273,600
Frage 2
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It is known that cars arrive at a drive-thru at a rate of three cars per minute between 12 noon and 1:00 pm. Assuming the number of cars that arrive in any time interval has a Poisson distribution, what is the probability that exactly 9 cars arrive 12:10 and 12:15?
Antworten
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e^(-9) 3^9)/3!
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e^(-15) 〖15〗^9)/9!
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e^(-3) 〖15〗^3)/15!
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none of the above
Frage 3
Frage
A professor wants to arrange his books on a shelf. He has 30 books and only space on the shelf for 20 of them. How many different 20-book arrangements can be make using 30 books? This is an example of a problem that can be solved using which method?
Antworten
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Conditional Probability
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Randomness
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Combinations
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Permutations
Frage 4
Frage
On a particular night, 50% of a group of people polled says that they are going to watch the hockey game and 26% says they are going to watch both the hockey game and the news. If 87% say they are going to watch at least one program, what percentage of these people say they are going to watch the news?
Frage 5
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In a playoff series, the probability that Team A wins over Team B is 3/5, and the probability that Team C wins over Team D is 4/7. If the probabilities are independent, the probability that Team A wins and Team C loses is
Frage 6
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The number of customers entering a bank per minute is a Poisson random variable with a mean of 3.5 customers per minute. What is the probability that more than three customers enter the bank in a minute?
Antworten
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0.3209
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0.4633
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0.5367
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0.6791
Frage 7
Frage
The probability that a certain machine will produce a defective item is 0.20. If a random sample of 6 items is taken, what is the probability that there will be 5 or more defectives in the sample?
Antworten
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0.0001
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0.0016
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0.0154
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0.2458
Frage 8
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According to a survey, 75% of all customers will return to the same grocery store. Suppose eight customers are selected at random, what is the probability that exactly five of the customers will return?
Antworten
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0.0467
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0.1468
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0.2076
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0.2541
Frage 9
Frage
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn are blue?
Frage 10
Frage
Two cards are drawn without replacement from a deck of 52 cards. the probability of the first card being red face and the second card being a club is