The heights of a three-year-old female patients are approximately normal with mean = 38.72 inches and standard deviation = 3.17 inches. Find the probability that randomly selected girl is between 34 and 42 inches tall, inclusive P(34 less than or equal to x less than or equal to 42).  A. Draw a normal curve with parameters labeled.  B. Use a graphing calculator to find the probability with x1 = 34, x2 = 42, mean = 38.72, and standard deviation = 3.17.  C. Standardize the normal distribution and find z1, z2. Then find the probability with z1, z2, mean = 0, and standard deviation = 1 using a graphing calculator.  D. Find the heights of girls corresponding to 68% of data and shaded the region on the curve.  E. Which height is corresponding to 90th percentile.

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The heights of a three-year-old female patients are approximately normal with mean = 38.72 inches and standard deviation = 3.17 inches. Find the probability that randomly selected girl is between 34 and 42 inches tall, inclusive P(34 less than or equal to x less than or equal to 42). 

A. Draw a normal curve with parameters labeled. 

B. Use a graphing calculator to find the probability with x1 = 34, x2 = 42, mean = 38.72, and standard deviation = 3.17. 

C. Standardize the normal distribution and find z1, z2. Then find the probability with z1, z2, mean = 0, and standard deviation = 1 using a graphing calculator. 

D. Find the heights of girls corresponding to 68% of data and shaded the region on the curve. 

E. Which height is corresponding to 90th percentile. 

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