Lemma
MediumNormal distribution
OpenStax, Introductory Statistics 2e §6.2 Using the Normal Distribution · Exercise 23 · Statistics · Normal distribution

Using the Normal Distribution · Exercise 23

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.

~8 minWritten answer · check your work with Lemma

OpenStax, Introductory Statistics 2e · §6.2 Using the Normal Distribution · Exercise 23

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.