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For Questions 21 - 22, use the following information. Use 4 decimals in your calculations. As part of an IT survey, both staff and managers

For Questions 21 - 22, use the following information. Use 4 decimals in your calculations.

As part of an IT survey, both staff and managers were asked to indicate what business and technical skills are critical to their jobs. In total, 12 skills were included in the survey. One of the 12 skills was "Analyzing Data". The following table reports findings about that skill:

Professional Position
Analyzing Data Staff Management Total
Critical 125 250 375
Not critical 45 68 113
Total 170 318 488

  1. What is the probability a randomly selected person is a manager and believes Analyzing Data is a critical skill?
    1. 0.51
    2. 0.79
    3. 0.35
    4. 0.87

  1. Given that a person is a staff member, what is the probability that he/she believes Analyzing Data is a critical skill?
    1. 0.29
    2. 0.74
    3. 0.50
    4. 0.77

  1. How many outcomes are possible in an experiment consisting of flipping 4 coins, rolling 3 six-sided dice and choosing 1 lower case letter?
    1. 12
    2. 220
    3. 89,856
    4. 35,219

  1. The respondents were asked to consider the 15 skills included in the study, and rank (as 1, 2, and 3) their top 3 choices. How many different ways are there that a person could make his/her selection?
    1. 45
    2. 455
    3. 1320
    4. 2730

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