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Mathematics
9th -
12thgrade
Binomial, Hypergeometric, and Poisson distributions
20 questions
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- 1. Multiple ChoiceWhich of the following is NOT an assumption of the Binomial distribution?All trials must be independent.Each trial must be classified as a success or a failure.All trials are dependent on each other.The number of successes in the trials is counted.
- 2. Multiple ChoiceIs the distribution below a probability distribution? Why or why not?Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1No, not all P(x) values are between 0 and 1.No, ∑P(x) ≠ 1.
- 3. Multiple Choice
An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?
0.962
0.132
0.831
0.250
- 4. Multiple ChoiceBob is taking a 100 question test. They have a 90 % probability of getting any one question correct. WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70 questions correctly?100C70 ( 0.18 )30 ( 0.90 )70100C70 ( 0.10 )30 ( 0.90 )60100C70 ( 0.10 )30 ( 0.90 )7099C70 ( 0.10 )30 ( 0.90 )70
- 5. Multiple Choice
Find the mean of a binomial distribution with n=50 and p=0.4
50
4
20
10
- 6. Multiple Choice
Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)
4.2
3.5
12.0
6.2
- 7. Multiple Choice
At a certain restaurant, there is a 70% probability that the flowers on your table will be yellow. If you are there with a group that is occupying 6 tables, what is the probability that 5 of the tables will have yellow flowers?
70%
70.6 %
30.3 %
5.0 %
- 8. Multiple Choice
The trials conducted in Hypergeometric distribution are done without replacement of the drawn samples.
True
False
- 9. Multiple Choice
Suppose we draw 4 cards from a pack of 52 cards. What is the probability of getting exactly 3 kings?
0.9999
0.9997
0.0007
- 10. Multiple Choice
Drawing names out of a hat without replacement and recording the number of names that begin with a vowel.
Binomial
Uniform
Hypergeometric
- 11. Multiple Choice
Counting the number of black cards in a hand of five card from a well-shuffled deck.
Binomial
Uniform
Hypergeometric
- 12. Multiple Choice
Salmi expected to receive 4 emails in a week. Find the probability of receiving 8 emails for the next 2 weeks.
0.0511
0.0297
0.5470
0.1395
- 13. Multiple Choice
A rental car service center company has 5 cars available for rental each day. Assume that each car is rented out for the whole day and that the number of cars rented out each day is randomly distributed with a mean of 2. Find the probability that the company cannot meet the demand for cars on any one day.
0.0166
0.0527
0.9473
0.0361
- 14. Multiple Choice
Poisson Formula: P(X=x)
- 15. Multiple Choice
Assuming that breakdowns in electricity supply occur ramdomly with mean of one breakdown every 10 weeks. Find the probability of at least 2 breakdowns in any period of one week
0.0047
0.0952
0.0002
1.000
- 16. Multiple Choice
The mean number of accidents per month at a certain intersection is 3.What is the probability that in any given month exactly 4 accidents will occur at this intersection?
0.081
0.672
0.168
- 17. Multiple Choice
Determine the probability of choosing two hearts out of a regular deck of cards when two cards are randomly chosen.
1/17
1/26
1/16
1/4
- 18. Multiple Choice
A bag contains six blue marbles, seven red marbles, and four green marbles. If four marbles are drawn randomly, determine the probability that three are green.
13/2380
13/595
832/83521
2/17
- 19. Multiple Choice
True or False:
Flipping a coin 10 times and counting the number of tails that come up is an example of a hypergeometric distribution.
true
false
- 20. Multiple Choice
A container has 4 red candies, 5 blue candies and two green candies. If you reach in and grab 5 candies, what is the probability that you get AT LEAST 1 red candy?
1
0.05
0.95
0.5
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