Problem 1 Heights of Females see end of document for more in

Problem 1: Heights of Females* (see end of document for more information)

Heights of females are known to follow a normal distribution with mean 64.5 inches and standard deviation 2.8 inches. Based on this information, answer the following questions.

Find the probability that a randomly selected female is taller than 67 inches. Draw a picture, shade area, standardize, and use Table 2 to obtain this probability. Please take a picture of your hand drawn sketch and upload it to your Word document. Verify your answer using a StatCrunch normal graph. Copy that image into your document as well.

Find the proportion of females who are between 60 and 62 inches tall (use only a StatCrunch graph).

Find the maximum height that would put a female in the bottom 4% of all female heights. Draw a picture, shade area, standardize, and use Table 2 to obtain this probability. Please take a picture of your hand drawn sketch and upload it to your Word document. Verify your answer using a StatCrunch normal graph. Copy that image into your document as well.  

Solution