AnswersAlgebra IIStatistics and Probability

Statistics and Probability — Test Answers

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21
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How do the mean and median change from plot 1 to plot 2?

A
The mean and median decrease.
B
The mean and median remain the same.
C
The mean decreases, and the median remains the same.
D
The mean remains the same, and the median decreases.
22
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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 interval on the y -axis could be changed to count by 20 s.
D
The scale on the y -axis could be changed to 0 - 150 .
23

The human resources manager at a company records the length, in hours, of one shift at work, cap x He creates the probability distribution. What is the probability that a worker chosen at random works at least 8 hours?

A
0 point 8 4
B
0 point 9 6
C
0 point 6 2
D
0 point 7 8
24

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 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.
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 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.
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 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.
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 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.
25

Each person takes turns rolling two dice. If the sum is odd, the person playing odds gets points equal to the sum of the roll. If the sum is even, the person playing evens gets points equal to the sum of the roll. Note that the points earned is independent of who is rolling the dice. If Jessica is challenged to a game of Sums, which statement is accurate in every aspect in guiding her to the correct choice of choosing to play odds or evens?

A
cap e times odds will be more because the probability for each odd number being rolled is greater. Therefore, Jessica should play odds.
B
cap e times evens is equal to cap e times odds because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.
C
cap e times evens will be more because there are more even numbers that result from rolling two dice. Therefore, Jessica should play evens.
D
cap e times evens will be more because the value of the even numbers on the dice are more. Therefore, Jessica should play evens.

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