Simulating Conversation in Probability

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

• A

• B

• C

• D

The 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

What is P( X > 2).

• 0.02

• 0.2

• 0.01

• 0.1

Find P( X = 4).

• 1.00

• 0.91

• 0.02

• 0.07

An experiment that represents the likelihood of an event occurring in real-life.

• theoretical experminet

• sample space

• simulations

• complement

To determine what letter will be used in a game of Scattegories (where a letter is chosen at random), Mr. Glass sets up a simulation. He wants to determine how likely it is that a vowel is chosen both times if they play the game twice. How should he set up his simulation?

• Use 1-5=vowel, 6-26=non vowel. Choose 5 numbers from 1-26

• Use 1-5=vowel, 6-10=non vowel. Choose 2 numbers from 1-10

• Use 1-5=vowel, 6-26=non vowel. Choose 2 numbers from 1-26

• Use 1-5=vowel, 6-10=non vowel. Choose 5 numbers from 1-10

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

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.

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

A coin is tossed and then a regular 6-sided die is rolled. What is the probability of the resulting outcome being

(tails, even)?

• 1/2

• 1/12

• 1/6

• 1/4