Math225 Week 5 Assignment: Evaluating Probability Using the Normal Distribution Questions

**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?

**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.

**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?

- Provide the final answer as a percent rounded to one decimal place.

**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

- Provide the final answer as a percent.

# Solution:

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?

**Answer:** 99.7% of the x-values lie between 58 and 88

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…**Please click the icon below to download at $2**