Suppose the heights (in inches) of men (ages 20–29) years old in the United States are normally distributed with a mean of 69.3 inches and a standard deviation of 2.92 inches.

1. The percent of men who are between 63.46 inches and 75.14 inches tall.

2. The percent of men who are taller than 72.22 inches.

3. The percent of men who are between 60.54 inches and 78.06 inches tall.

4. The percent of men who are shorter than 60.54 inches.

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?