Answers Fall 24 GMS Advanced Algebra Concepts and Connections AStandard Deviation

Properties of Probability Distributions Answers

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Which of the following describes the probability distribution below?

The mean is greater than the median, and the majority of the data points are to the left of the mean.

The mean is greater than the median, and the majority of the data points are to the right of the mean.

The median is greater than the mean, and the majority of the data points are to the left of the mean.

The median is greater than the mean, and the majority of the data points are to the right of the mean.

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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?

constant

symmetric

negatively skewed

positively skewed

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 probability distribution is shown. The probability of 0 is 1; 1 is 3; 2 is 3; 3 is 1.

A probability distribution is shown. The probability of 0 is 0.13; 1 is 0.38; 2 is 0.38; 3 is 0.12.

A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.25; 2 is 0.5; 3 is 0.12.

A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.5; 2 is 0.25; 3 is 0.12.

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

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Properties of Probability Distributions Answers

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