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Section 5.3 Finding Values Find the z-score that corresponds to the given cumulative area or percentile. Area = 0.9099 Area = 0.0192 P30 P82 Find the z-score that has 12.1% of the distribution’s area to its right. Find the z score for which 40% of the distribution’s area lies between –z and z In these examples you are given probabilities and are asked to find x values. If the average price of a new home is normally distributed with a mean of $145,000, and standard deviation $1500, what price represents the 78th percentile? A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100. a) The top 3% of students receive $500. What is the cutoff score for receiving this award? b) The bottom 1.5% of students must go to summer school. What is the minimum score needed to stay out of this group?