• The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 43 and a standard deviation of 5. Using the empirical rule (as presented in the book), what is the approximate percentage of 1-mile long roadways with potholes numbering between 28 and 48?
• The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a standard deviation of 2.67 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.58 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? c) Who is relatively taller? The 6 foot 3 inch American man or The 5 foot 11 inch American woman
• Company XYZ know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 12.9 years and a standard deviation of 1.4 years. Find the probability that a randomly selected quartz time piece will have a replacement time less than 9.1 years? P(X < 9.1 years) = Enter your answer accurate to 4 decimal places