As part of an IT survey both staff and managers were asked t

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:

A. What is the probability that a person selected at random is a manager?

B. What is the probability that a randomly selected person says Analyzing Data is critical skill?

C. What is the probability a randomly selected person is a manager and believes Analyzing Data is a critical skill?

D. What is the probability that a randomly selected person is a manager or believes Analyzing Data is a critical skill?

E. Given that a person is a manager, what is the probability that he/she believes Analyzing Data is a critical skill?

F. The respondents were asked to consider the 12 skills included in the study and pick 4 which they thought are critical to their job. How many different ways are possible for an individual to make his/her selection?

G. The respondents were asked to consider the 12 skills included in the study, and rank (as 1, 2, 3, and 4) their top 4 choices. How many different ways are there that a person could make his/her selection?

Solution

A) PROBABILITY THAT THE PERSON BE A MANAGER = 6264/14074( TOTAL MANAGER / TOTAL STAFF)= 0.445

B)PROBABILITY THAT THE PERSON SAY IT A CRITICAL SKILL = TOTAL STAFF WHO SAID SO / TOTAL STAFF = 8007/14074 = 0.568

C)PERSON SELECTED IS MANAGER ANS SAY IT A CRITICAL SKILL = TOTAL PERSON WHO ARE MANAGER WHO SAY SO / TOTAL STAFF = 3633/14074= 0.258

D)probability that a randomly selected person is a manager or believes Analyzing Datais a critical skill = HERE OR IS GIVEN THEREFORE WE WILL ADD PEOPLE WHO ARE MANAGER PLUS PEOPLE WHO BELIEVE THAT IT IS A CRITICAL SKILL/ TOTAL STAFF = 10638/14074=0.755

Note: we are suppose to answer till 4 subparts for rest repsot again.