Problem # 1 Assuming that the heights of college women are normally distributed with a mean of 66 inches and a standard deviation of 2.5 inches, answer the questions below. 1A. Draw the normal curve to represent this data. Label the mean and the standard deviations along the top of the curve. Be sure to include a line along the bottom. Shade in the area that represents the probability that an acre will be between 58.5 inches and 68.5 inches. 1B. 1C. 1D. What percentage of these women are taller than 68.5 inches? What percentage of these women are shorter than 61 inches? 1B. 1C. What is the probability that one of these women will be taller than 63.5 inches? 1D.

MATLAB: An Introduction with Applications
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**Problem # 1**

Assuming that the heights of college women are normally distributed with a mean of 66 inches and a standard deviation of 2.5 inches, answer the questions below.

**1A.** Draw the **normal curve** to represent this data. Label the mean and the standard deviations along the top of the curve. Be sure to include a line along the bottom. Shade in the area that represents the probability that a college woman’s height will be between 58.5 inches and 68.5 inches.

**1B.** What *percentage* of these women are taller than 68.5 inches? 1B. ___________

**1C.** What *percentage* of these women are shorter than 61 inches? 1C. ___________

**1D.** What is the *probability* that one of these women will be taller than 63.5 inches? 1D. ___________
Transcribed Image Text:**Problem # 1** Assuming that the heights of college women are normally distributed with a mean of 66 inches and a standard deviation of 2.5 inches, answer the questions below. **1A.** Draw the **normal curve** to represent this data. Label the mean and the standard deviations along the top of the curve. Be sure to include a line along the bottom. Shade in the area that represents the probability that a college woman’s height will be between 58.5 inches and 68.5 inches. **1B.** What *percentage* of these women are taller than 68.5 inches? 1B. ___________ **1C.** What *percentage* of these women are shorter than 61 inches? 1C. ___________ **1D.** What is the *probability* that one of these women will be taller than 63.5 inches? 1D. ___________
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