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Mathematics
7th -
12thgrade
Probability for Discrete Random Variables HW
18 questions
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- 1. Multiple Choice
Discrete data is
countable
measurable
- 2. Multiple Choice
Is the number of cheeseburgers a fast-food restaurant serves each day discrete or continuous?
Discrete
Continuous
- 3. Multiple Choice
Is the number of orange Skittles in a bag discrete or continuous data?
Discrete
Continuous
- 4. Multiple Choice
All of the probabilities in a probability distribution add up to what?
0
10
1
.5
- 5. Multiple Choice
Find the missing value for P(X=5) in the probability ditribution:
Number of Toys | Probability
0| 0.03
1| 0.16
2| 0.30
3| 0.23
4| 0.17
5| ?
0.11
0.21
0.01
0.31
- 6. Multiple Choice
Determine which of the following distribution is NOT a probability distribution.
A
B
C
D
- 7. Multiple Choice
Is this a probability distribution?
No, the sum of p(x) does not equal 1.
Yes, all p(x) are between 0 and 1.
No, all p(x) are not between 0 and 1.
Yes, the sum p(x) is 1.
- 8. Multiple Choice
The table represents the probability of guessing correct on a 5 question true-false quiz. Find the probability all 5 questions correct.
.03125
.15625
.3125
.1875
- 9. Multiple ChoiceThe table represents the probability of guessing correct on a 5 question true-false quiz. Find the probability for at least 4 questions correct..03125.15625.3125.1875
- 10. Multiple Choice
What does P(Y<3) mean?
The probability that the random variable Y is greater than 3.
The probability that the random variable Y is less than 3.
The probability that the random variable X is greater than 3.
The probability that the random variable X is less than 3.
- 11. Multiple Choice
What is P( X > 2).
0.02
0.2
0.01
0.1
- 12. Multiple Choice
Find P( X = 4).
1.00
0.91
0.02
0.07
- 13. Multiple Choice
Consider the following distribution where X = number of mice caught in an apartment in a night:
Mice | Probability
0 | 0.12
1 | 0.20
2 | 0.31
3 | 0.14
4 | 0.16
5 | 0.07
Which of the following means "trapping at least one mouse?"
X<1
X<1
X>1
X>1
- 14. Multiple Choice
Consider the following distribution where X = number of mice caught in an apartment in a night:
Mice | Probability
0 | 0.12
1 | 0.20
2 | 0.31
3 | 0.14
4 | 0.16
5 | 0.07
Which of the following means "trapping less than 2 mice?"
X<2
X<3
X>2
X>2
- 15. Multiple Choice
Consider the following distribution where X = number of mice caught in an apartment in a night:
Mice | Probability
0 | 0.12
1 | 0.20
2 | 0.31
3 | 0.14
4 | 0.16
5 | 0.07
What is the probability of trapping at least three mice?
0.14
0.37
0.23
0.16
- 16. Multiple Choice
Consider the following distribution where X = number of mice caught in an apartment in a night:
Mice | Probability
0 | 0.12
1 | 0.20
2 | 0.31
3 | 0.14
4 | 0.16
5 | 0.07
What is the probability of trapping fewer than 3 mice?
0.14
0.37
0.63
0.16
- 17. Multiple Choice
A marketing survey compiled data on the number of cars in households. If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution:
X P(X)
0 0.24
1 0.27
2 0.20
3 0.11
4 0.05
5 0.03
What is the probability that a randomly chosen household has at least two cars?
0.20
0.29
0.39
0.61
- 18. Multiple Choice
A marketing survey compiled data on the number of cars in households. If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution:
X P(X)
0 0.24
1 0.27
2 0.20
3 0.11
4 0.05
5 0.03
What is the probability that a randomly chosen household has exactly one car?
0.61
0.29
0.39
0.27
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