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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?
720
1134
21,772, 800
261,273,600
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?
e^(-9) 3^9)/3!
e^(-15) 〖15〗^9)/9!
e^(-3) 〖15〗^3)/15!
none of the above
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?
Conditional Probability
Randomness
Combinations
Permutations
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?
13%
37%
60%
63%
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
9/35
12/35
7/12
1/3
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?
0.3209
0.4633
0.5367
0.6791
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?
0.0001
0.0016
0.0154
0.2458
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?
0.0467
0.1468
0.2076
0.2541
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?
10/21
11/27
2/7
5/7
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
1/34
3/104
19/52
9/22
