MATH 225N Week 5 Assignment; Evaluating Probability Using the Normal Distribution
1. 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. 2. 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 76points. Provide the final answer as a percent rounded to two decimal places. 3. 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 4. 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 2points, what is the probability that in a randomly selected game, the player scored between 12 and 20points? Use the empirical rule
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