Description
Week 5: Normal Distribution
Week | Assignments | Due Date |
Week 5 | Graded Discussion | Suggested Due Date—
Initial Post: Wednesday of Week 5
Due Date— Responses: Sunday of Week 5 [Have two posts on two different days] |
Knewton Homework Assignments
Understanding Normal Distribution Applications of the Normal Distribution – Excel Central Limit Theorem for Means Central Limit Theorem for Proportions Probability Using the Normal Distribution Understanding the Empirical Rule |
Sunday of Week 5 |
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Week 5 Assignment – Evaluating Probability Using the Normal Distribution
Activity 1
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.
Answer
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Activity 2
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.
Answer
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Activity 3
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:
Answer
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Activity 4
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.
Answer
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Activity 5
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?
Answer
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Activity 6
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.
Answer
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Activity 7
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?
Answer
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Activity 8
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
Answer
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