Probability Questions

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

Determine which of the following distribution is NOT a probability distribution.

• A

• B

• C

• D

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.

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

Consider the following distribution where X = number of mice caught in an apartment in a night: Which of the following means "trapping less than 2 mice?"

• X<2

• X<3

• X>2

• X>2

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

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

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

The probability of an event is 0.74. Describe the likelihood of the event.

• Certain

• Likely

• Equally likely/unlikely

• Unlikely

• Impossible

A spinner is spun and the results are shown in the chart. Which of the following statements is true about the probability of spinning a blue?

• The experimental probability and theoretical probability are equal.

• The experimental probability is less than the theoretical probability.

• The experimental probability is greater than the theoretical probability.

• The experimental probability cannot be determined from the data.