07 Jan Question A normal distribution
MATH225 Statistical Reasoning for the Health Sciences
Week 5 Assignment Evaluating Probability Using the Normal Distribution
Question The times to complete an obstacle course is normally distributed with mean 73 seconds and standard deviation 9 seconds. What is the probability using the Empirical Rule that a randomly selected finishing time is less than 100 seconds?
• Provide the final answer as a percent rounded to two decimal places.
Question 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.
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 Ms. Wilson’s math test scores are normally distributed with a mean score of 73 (?) and a standard deviation of 5 (?). Using the Empirical Rule, about 99.7% of the scores lie between which two values?
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