AnswersAlgebra D E-Learning Fall 2023 and beyondProperties of Probability Distributions

Properties of Probability Distributions Answers

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The fair spinner shown is spun 1 time. There are four possible outcomes, one for each color.Based on the picture, which statements are true?

A
The probability of each outcome is equal
B
The probability of each outcome is different.
C
The outcomes have a uniform probability distribution.
D
The outcomes have a nonuniform distribution
2
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What is the probability of spinning a yellow? /4

Answer:

1

3

What is the probability of spinning a yellow or a green?

Answer:

0.5

4

What is the sum of the probabilities for all possible outcomes?

Answer:

1

5

Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two spins?

A
0.0625
B
0.5625
C
0.375
D
1
6

A 4-section spinner is spun 2 times. Each of the sections are the same size.The set of possible outcomes are:S = {RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}.Which graph shows the probability distribution for the random variable representing the number of greens? (Green is represented by the letter G.)

A
Option
Option A
B
Option
Option B
C
Option
Option C
7

Addison sells 100 tickets for $10 each for a raffle. There is 1 award for $100, 4 awards for $50, and 10 awards for $30. The remaining proceeds go to hosting the contest. Which table correctly displays the probability distribution?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Which of the following represents a valid probability distribution?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Using the data from the table, what is P(3)? 0.1✔ 0.20.4

A
0.1
B
✔ 0.2
C
0.4
10

What is the mean of the probability distribution? 0.41.0✔ 2.0

A
0.4
B
1.0
C
✔ 2.0
11

Shelia does quality control for a company that manufactures lawn mower parts. On any given day, she finds the probability distribution for defective parts as shown in the table. Using the data from the table, what is the probability of having 2 defective parts in a day?0.01✔ 0.040.100.85

A
0.01
B
✔ 0.04
C
0.10
D
0.85
12

What is the probability that on a given day there, Shelia will find defects?0.010.1✔ 0.151

A
0.01
B
0.1
C
✔ 0.15
D
1
13

The probability distribution below is ✔ negatively skewedsymmetricpositively skewed A bar graph has X on the x-axis, from 1 to 6, and P x (x) on the y-axis, from 0 to 0.4 in increments of 0.05. The probability of 1 through 6 is: 0.02, 0.04, 0.15, 0.18, 0.25, 0.36.

Question illustration
A
✔ negatively skewed
B
symmetric
C
positively skewed
14

The mean is greater than the median.✔ less than the median.equal to the median.

A
greater than the median.
B
✔ less than the median.
C
equal to the median.
15

The mode is ✔ greater than the medianless than the medianequal to the median

A
✔ greater than the median
B
less than the median
C
equal to the median
16

What type of data distribution is shown on the graph? negatively skewed✔ symmetricpositively skewed

Question illustration
A
negatively skewed
B
✔ symmetric
C
positively skewed
17

The mean is greater than the median.less than the median.✔ equal to the median.

A
greater than the median.
B
less than the median.
C
✔ equal to the median.
18

What type of data distribution is shown on the graph?negatively skewedsymmetric✔ positively skewed

Question illustration
A
negatively skewed
B
symmetric
C
✔ positively skewed

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