## (CORRECT ANSWER) MATH225N Week 5 Assignment : Evaluating Probability Using the Normal Distribution

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**Question**

A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 16 points and the standard deviation is 2 points, what is the probability that in a randomly selected game, the player scored between 12 and 20 points? Use the empirical rule

- Provide the final answer as a percent.

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**Question**

After collecting the data, Tammy finds that the total snowfall per year in Linndale is normally distributed with mean 99 inches and standard deviation 13 inches. What is the probability that in a randomly selected year, the snowfall was greater than 112 inches? Use the empirical rule.

- Provide the final answer as a percent.

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**Question**

Mrs. Miller’s science test scores are normally distributed with a mean score of 77 (μ) and a standard deviation of 3 (σ). Using the Empirical Rule, about 68% of the scores lie between which two values?

Provide your answer below:

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**Question**

After collecting the data, Douglas finds that the finishing times for cyclists in a race is normally distributed with mean 149 minutes and standard deviation 16 minutes. What is the probability that a randomly selected race participant had a finishing time of less than 165 minutes? Use the empirical rule

- Provide the final answer as a percent.

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**Question**

Ms. Wilson’s math test scores are normally distributed with a mean score of 73 (μ) and a standard deviation of 5 (σ). Using the Empirical Rule, about 99.7% of the scores lie between which two values?

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**Question**

After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with mean 85 points and standard deviation 3 points. Use the Empirical Rule to find the probability that a randomly selected student’s score is greater than 76 points. Provide the final answer as a percent rounded to two decimal places.

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**Question**

The number of pages per book on a bookshelf is normally distributed with mean 248 pages and standard deviation 21 pages. Using the empirical rule, what is the probability that a randomly selected book has less than 206 pages?

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**Question**

The times to complete an obstacle course is normally distributed with mean 87 seconds and standard deviation 7 seconds. What is the probability that a randomly selected finishing time is greater than 80 seconds? Use the empirical rule

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