Objective 5: Probability and Statistics

1) A spinner and a fair number cube are used in a game. The spinner has four equal sections; red, blue, yellow, or green. The faces of the cube are numbered 1 through 6. What is the probability of a player spinning the color red and rolling a 5 or 6? (8.11)(A)

The probability of spinning the color red is 1/4 because there are four equal sections on the spinner. The probability of rolling a 5 or 6 on the number cube is 2/6 because there are two favorable outcomes out of six possible outcomes. To find the probability of both events happening, we multiply the probabilities together: (1/4) * (2/6) = 1/12. Therefore, the probability of a player spinning the color red and rolling a 5 or 6 is 1/12.

Explanation

The probability of spinning the color red is 1/4 because there are four equal sections on the spinner. The probability of rolling a 5 or 6 on the number cube is 2/6 because there are two favorable outcomes out of six possible outcomes. To find the probability of both events happening, we multiply the probabilities together: (1/4) * (2/6) = 1/12. Therefore, the probability of a player spinning the color red and rolling a 5 or 6 is 1/12.

2)

The sample does not represent all of the voters in the city.

The sample size is too large.

The newspaper surveys are always reliable.

The data collect is biased.

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Explanation

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3)

Cheese sandwiches were the favorite lunch that day.

More students ate pizza than soup or veggie burgers.

Students will eat more veggie burgers than soup the next day.

Twice as many students ate chicken sandwiches as pizza.

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Explanation

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4) Which scatter plot shows the relationship between the number of gallons of gasoline remaining in a motorcycle's tank and the number of miles driven since the tank was filled? (8.12)(B)

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Explanation

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5)

Mean

Median

Mode

Range

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Explanation

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6)

$500,000

$450,000

$400,000

$350,000

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Explanation

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7) Emily read an article that stated that on average 15% of men are left-handed and 9% of women are left-handed. Emily gathered her own data by surveying adults at a basketball game. She found that 5 out of 26 women were left-handed. What is the approximate difference in percentage between the study's findings and Emily's experimental results? (8.11)(B)

4.2%

6.2%

10.2%

19.2%

Based on the information provided, the article stated that 9% of women are left-handed on average. However, Emily's survey found that only 5 out of 26 women were left-handed, which is approximately 19.2%. Therefore, the approximate difference in percentage between the study's findings and Emily's experimental results is 19.2% - 9% = 10.2%.

Explanation

Based on the information provided, the article stated that 9% of women are left-handed on average. However, Emily's survey found that only 5 out of 26 women were left-handed, which is approximately 19.2%. Therefore, the approximate difference in percentage between the study's findings and Emily's experimental results is 19.2% - 9% = 10.2%.