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# (Solved) MATH225 Week 5 Assignment : Evaluating Probability Using the Normal Distribution

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Question

Ms. Wilson’s math test scores are normally distributed with a mean score ofÂ 73Â (Î¼) and a standard deviation ofÂ 5Â (Ïƒ). Using the Empirical Rule, aboutÂ 99.7%Â of the scores lie between which two values?

Question

After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with meanÂ 85Â points and standard deviationÂ 3Â points. Use the Empirical Rule to find the probability that a randomly selected student’s score is greater thanÂ 76Â points. Provide the final answer as a percent rounded to two decimal places.

Question

The number of pages per book on a bookshelf is normally distributed with meanÂ 248Â pages and standard deviationÂ 21Â pages. Using the empirical rule,Â what is the probability that a randomly selected book has less thanÂ 206Â pages?

Question

The times to complete an obstacle course is normally distributed with meanÂ 87Â seconds and standard deviationÂ 7Â seconds. What is the probability that a randomly selected finishing time is greater thanÂ 80Â seconds?Â Use the empirical rule

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