MATH225N Week 5 Assignment: Evaluating Probability Using the Normal Distribution
Q1
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.
Ans: 99.85%
Q2
A normal distribution is observed from the number of points per game for a certain basketball
player. The mean for this distribution is 20 points and the standard deviation is 3 points. Use the
empirical rule for normal distributions to estimate the probability that in a randomly selected
game the player scored less than 26 points.
•Provide the final answer as a percent rounded to one decimal place.
Ans: 97.5%
Q3
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.
Ans: 2.5%
Q4
A normal distribution is observed from the number of points per game for a certain basketball
player. If the mean is 15 points and the standard deviation is 3 points, what is the probability that
in a randomly selected game, the player scored greater than 24 points? Use the empirical rule
•Provide the final answer as a percent rounded to two decimal places.
Ans: 0.15%
Q5
