ACTIVITY 6 According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual. a. X- b. Find the probability that the person is between 65 and 69 inches. Include a sketch of the graph and write a probability statement. c. Would you expect to meet many Asian adult males over 72 inches? Explain why or why not, and justify your answer numerically. d. The middle 40% of heights fall between what two values? Sketch the graph and write probability statement.(Hint: z score for 30th & 70th percentile is -0.5244 and 0.5244; Kh percentile = + Zσ)

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ACTIVITY 6
According to a study done by De Anza students, the height for Asian adult males is normally
distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian
adult male is randomly chosen. Let X = height of the individual.
a. X-
b. Find the probability that the person is between 65 and 69 inches. Include a sketch of the graph and
write a probability statement.
c. Would you expect to meet many Asian adult males over 72 inches? Explain why or why not, and
justify your answer numerically.
d. The middle 40% of heights fall between what two values? Sketch the graph and write probability
statement. (Hint: z score for 30th & 70th percentile is -0.5244 and 0.5244; Kh percentile = + Z)
Transcribed Image Text:ACTIVITY 6 According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual. a. X- b. Find the probability that the person is between 65 and 69 inches. Include a sketch of the graph and write a probability statement. c. Would you expect to meet many Asian adult males over 72 inches? Explain why or why not, and justify your answer numerically. d. The middle 40% of heights fall between what two values? Sketch the graph and write probability statement. (Hint: z score for 30th & 70th percentile is -0.5244 and 0.5244; Kh percentile = + Z)
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