AnswersAlgebra IIStatistics and Probability

Statistics and Probability — Test Answers

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1
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The table shows the ages of houses to the nearest year in a neighborhood. Using the age of the houses as the random variable, cap x , which graph shows the probability distribution, cap p sub cap x times x , of a randomly chosen house?

A
Image with description The bar graph is titled Probability Distribution. The horizontal axis lists 0 to 4 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 1 4 in increments of 0 point 0 2 and is labeled as a P subscript x of x. There are 4 bars on the graph. The first bar is at 1 and its height is 0 point 6 5, 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 2, and the 4th bar is at 4 and its height is 0 point 1 3.
B
Image with description The bar graph is titled Probability Distribution. The horizontal axis lists 0 to 4 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 3 5 in increments of 0 point 0 5 and is labeled as a P subscript x of x. There are 4 bars on the graph. The first bar is at 1 and its height is 0 point 1 6, the second bar is at 2 and its height is 0 point 2 2, the 3rd bar is at 3 and its height is 0 point 2 8, and the 4th bar is at 4 and its height is 0 point 3 3.
C
Image with description The bar graph is titled Probability Distribution. The horizontal axis lists 0 to 4 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 3 5 in increments of 0 point 0 5 and is labeled as a P subscript x of x. There are 4 bars on the graph. The first bar is at 1 and its height is 0 point 1 5, 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 2 5, and the 4th bar is at 4 and its height is 0 point 3.
D
Image with description The bar graph is titled Probability Distribution. The horizontal axis lists 0 to 4 in increments of 1 and is labeled as x. The vertical axis lists 0 to 0 point 4 5 in increments of 0 point 0 5 and is labeled as a P subscript x of x. There are 4 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, and the 4th bar is at 4 and its height is 0 point 4.
2
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How could the graph be redrawn so that the difference in monthly electric cost does not appear as great?

A
The interval on the y -axis could be changed to count by 1 s.
B
The scale on the y -axis could be changed to 100 - 120 .
C
The scale on the y -axis could be changed to 0 - 150 .
D
The interval on the y -axis could be changed to count by 20 s.
4

Glenda checks the computer monitors made at her company for defects. It has been shown that 0 point 5 percent of the monitors are defective. She decides to check several monitors and record if they are defective. Which of the following will make this process into a binomial experiment?

A
Glenda checks 300 monitors and records the number that are defective until she gets greater than 0 point 5 percent defective monitors.
B
Glenda checks the monitors until she has 300 non-defective monitors.
C
Glenda chooses to check 300 monitors.
D
Glenda checks the monitors until she has 300 defective monitors.
5

The mean test scores with standard deviations of four English classes are given. Class Mean Standard Deviation Mrs. Jones 89 1 point 9 Mrs. Rijo 82 1 point 4 Mr. Phan 73 3 point 4 Mrs. Scott 90 6 point 1 Which statement is most likely to be true?

A
The scores of Mr. Phan’s class are the closest to the class mean.
B
The scores of Mrs. Scott’s class are the closest to the class mean.
C
The scores of Mrs. Rijo’s class are the closest to the class mean.
D
The scores of Mrs. Jones’s class are the closest to the class mean.
19

Which characteristic of a data set makes a linear regression model unreasonable?

A
a slope close to negative 1
B
a correlation coefficient close to 0
C
a correlation coefficient close to negative 1
D
a slope close to 0
20

Which of the following is a valid probability distribution?

A
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.
B
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.
C
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.
D
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.

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