Devry MATH225 Week 5 Assignment Evaluating Probability Using the Normal Distribution Latest 2019 JULY Question # 00603519 Subject: Mathematics Due on: 08/08/2019 Posted On: 08/08/2019 08:57 AM Tutorials: 1 Rating: 4.9/5

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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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