1) Draw a diagram to show a Standard Normal distribution and shade in the regions between (-) and (+3). State the percentage of the population that would have values of the variable in this total region, by

a)using 68-95-99.7 rule, and

b)using Table A.

2) The height of women in their twenties is normally distributed with a mean 163 cm and a standard deviation of

5 cm.

1. Almost all women in their twenties have heights within what range of values?
2. The middle 50% of women in their twenties have heights within what range of values?
3. What percentage of these women are taller than 174cm?
4. The shortest 2.5% of these women are below what height?