Probability Distributions Slides

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

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 most two mice?

• 0.14

• 0.37

• 0.23

• 0.63

Choose the correct sign

probability of "at most 7"

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)

The number of defective computers produced by a manufacturer

• Discrete Random Variable

• Continuous Random Variable

Choose the correct sign

probability of "at least 7"

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)

• Discrete

• Continuous

• Abstract

• cannot be answered

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

• No, some of probabilities are not between 0 and 1 inclusive

• No, the sum of all the probabilities is not 1.

• Yes, because the distribution is symmetric

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

• A

• B

• C

• D

What are the random variables in the given problem.

• x = 1, 2, 3

• x = 0, 1, 2, 3

• x = 2, 3, 4, 5, 6

• x = 0, 2, 4, 6, 8

What is the probability distribution of getting a sum of 3

• 0.0625

• 0.250

• 0.125

• 0.750