The following table uses 1992 data concerning the percentages of male and female full-time workers whose annual salaries fall into different ranges:
Earnings range | Percentage of females | Percentage of males |
≤9999 | 8.6 | 4.4 |
10,000−19,999 | 38.0 | 21.1 |
20,000−24,999 | 19.4 | 15.8 |
25,000−49,999 | 29.2 | 41.5 |
≥50,000 | 4.8 | 17.2 |
Suppose that random samples of 200 male and 200 female full-time workers are chosen. Approximate the probability that
(a) at least 70 of the women earn $25,000 or more;
(b) at most 60 percent of the men earn $25,000 or more;
(c) at least three-fourths of the men and at least half the women earn $20,000 or more.
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