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The following table is used by a number of questions below. A survey by Yahoo Finance...

The following table is used by a number of questions below. A survey by Yahoo Finance found that 59% of American workers say that if they can do it all over again, they would choose a different career. The survey also found that 33% of workers say they plan to retire early and 67% plan to retire at age 65 or older. Suppose the survey results are as detailed below.

Retire Early

Yes

No

All

Career

Same

.20

.21

.41

Different

.13

.46

.59

All

.33

.67

  1. What is the probability a worker would pick the same career?
  2. What is the probability that a worker who would select the same career plans to retire early?
  3. What is the probability a worker who would select a different career plans to retire early?
  4. What do the answers to the above questions tell you about the reasons workers say they would select the same career?
  5. What do the answers tell you about the reasons why people plan to retire early?
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