AnswersEAP-Algebra Functions and Data Analysis B CRStandard Deviation

Properties of Probability Distributions Answers

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Which of the following describes the probability distribution below?

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A
The mean is greater than the median, and the majority of the data points are to the left of the mean.
B
The mean is greater than the median, and the majority of the data points are to the right of the mean.
C
The median is greater than the mean, and the majority of the data points are to the left of the mean.
D
The median is greater than the mean, and the majority of the data points are to the right of the mean.
2
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The graph below shows the experimental probability of a runner finishing in first place (1), in second place (2), in third place (3), or not placing (4). Which of the following describes the probability distribution?

Question illustration
A
constant
B
symmetric
C
negatively skewed
D
positively skewed
3

A spinner has two equal sections, one green and one orange. The spinner is spun three times, resulting in the sample space S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}. If the random variable X represents the number of times orange, O, is spun, which graph represents the probability distribution?

A
A probability distribution is shown. The probability of 0 is 1; 1 is 3; 2 is 3; 3 is 1.
Option A
B
A probability distribution is shown. The probability of 0 is 0.13; 1 is 0.38; 2 is 0.38; 3 is 0.12.
Option B
C
A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.25; 2 is 0.5; 3 is 0.12.
Option C
D
A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.5; 2 is 0.25; 3 is 0.12.
Option D
4

A teacher assigns a score from 1 to 4 to each student project. The table below shows the probability distribution of the scores for a randomly selected student. Which score is most likely?Probability DistributionScore: XProbability: P(X)10.0620.2030.4840.26

A
1
B
2
C
3
D
4
5

A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is S = {RR, RB, BR, BB}. Let X represent the number of times blue occurs. Which of the following is the probability distribution, PX(x)?

A
A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0.25, 0.5, 0.25.
Option A
B
A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0.33, 0.33, 0.33.
Option B
C
A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0.5, 0.5, 0.
Option C
D
A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0, 0.5, 0.5.
Option D
6

A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?Probability DistributionHours Studied: XProbability: P(X)0.50.0710.21.50.4620.22.50.07

A
0.20
B
0.46
C
0.85
D
1.50

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