AnswersMathematics IIIStatistics and Probability

Statistics and Probability — Test Answers

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Which of the following is a valid probability distribution?

A
Image with description The bar graph is titled Probability Distribution A. The horizontal axis lists 0 to 6 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 3 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 6 bars on the graph, and all the bars have a uniform height of 0 point 2.
B
Image with description The bar graph is titled Probability Distribution C. The horizontal axis lists 0 to 6 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 5 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 5 bars on the graph. The first bar is at 1 and its height is 0 point 1, the second bar is at 2 and its height is 0 point 2, the 3rd bar is at 3 and its height is 0 point 4, the 4th bar is at 5 and its height is 0 point 1, and the 5th bar is at 6 and its height is 0 point 1.
C
Image with description The bar graph is titled Probability Distribution D. The horizontal axis lists 0 to 6 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 6 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 5 bars on the graph. The first bar is at 1 and its height is 0 point 2, the second bar is at 2 and its height is 0 point 1, the 3rd bar is at 3 and its height is 0 point 1, the 4th bar is at 4 and its height is 0 point 5, and the 5th bar is at 6 and its height is 0 point 1.
D
Image with description The bar graph is titled Probability Distribution B. The horizontal axis lists 0 to 6 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 4 in increments of 0 point 1 and is labeled as a P subscript x of x. There are 6 bars on the graph. The first bar is at 1 and its height is 0 point 1, the second bar is at 2 and its height is 0 point 2, the 3rd bar is at 3 and its height is 0 point 3, the 4th bar is at 4 and its height is 0 point 3, the 5th bar is at 5 and its height is 0 point 2, and the 6th bar is at 6 and its height is 0 point 1.
23

Which normal distribution has the greatest standard deviation?

A
Image with description A normal distribution is shown on x-axis with markings from 80 to 120 in increments of 8. The curve has a peak at 96 and hits the x-axis at 75 and 115.
B
Image with description A normal distribution is shown on x-axis with markings from 16 to 56 in increments of 8. The curve has a peak at 32 and hits the axis at 28 and 38.
C
Image with description A normal distribution is shown on x-axis with markings from negative 8 to 40 in increments of 8. The curve has a peak at 16.
D
Image with description A normal distribution is shown on x-axis with markings from 40 to 80 in increments of 8. The curve has a peak at 60 and hits the x-axis at 48 and 72.
25

Which statement must be true?

A
Each distribution has the same mean and the same standard deviation.
B
Each distribution has a different mean and the same standard deviation.
C
Each distribution has a different mean and a different standard deviation.
D
Each distribution has the same mean and a different standard deviation.

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