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When working with probabilty, is it safe to assume someone can be a manager and

ID: 3260089 • Letter: W

Question

When working with probabilty, is it safe to assume someone can be a manager and a supervisor even though it is not specifically stated? How would this work out? My intital selection was zero based on not being able to have further details but then a manager could be a supervisor and I came up with 40%.

[Use data from problem 1] If a person is selected at random from the sample, what is the probability (expressed as a percentage) that this person is both a manager and a supervisor?

D. None of the above

For this question - may work drove me to NONE OF THE ABOVE but a rework led me to .1333.

[Use data from problem 1] A person is selected at random from the sample. Given that this person has a Y value equal to 10, what is the probability that this person is an employee?

A. 20% B. 0 C. 40%

D. None of the above

For this question - may work drove me to NONE OF THE ABOVE but a rework led me to .1333.

[Use data from problem 1] A person is selected at random from the sample. Given that this person has a Y value equal to 10, what is the probability that this person is an employee?

A. 0.133 B. 0.333 C. 0.667 D. None of the above Person ID Group 21 157.90 156.64 160.45 153.13 170.14 150.09 163.74 134.47 174.17 150.05 141.47 156.59 161.88 150.99 174.95 166.90 128.43 169.11 153.73 151.45 172.85 146.05 171.48 153.55 166.52 157.469 12.159 10 163.90 Manager 148.64 Manager 155.45 Manager 160.13 Manager 168.14 Manager 149.09 Supervisor 161.74 Supervisor 142.47 Supervisoir 177.17 Supervisor 151.05 Supervisor 148.47 Employee 148.59 Employee 162.88 Employee 158.99 Employee 174.95 Employee 165.90 Employee 124.43 Employee 168.11 Employee 150.73 Employee 146.45 Employee 164.85 Employee 137.05 Employee 178.48 Employee 151.55 Employee 164.52 Employee 156.949 12.776 2 2 4 10 10 12 13 4 16 17 10 19 4 21 23 4 Arithmetic mean Standard deviation 2.784 2.880 5.200 5.280

Explanation / Answer

Q: If a person is selected at random from the sample, what is the probability (expressed as a percentage) that this person is both a manager and a supervisor?

Ans: Total Persons = 25

Total Persons who are both managers and supervisors = 10 (assuming a manager can be a supervisor and vice versa)

So, probability = 10/25 = 40%

Q: A person is selected at random from the sample. Given that this person has a Y value equal to 10, what is the probability that this person is an employee?

Ans: Total person with Y = 10 is 3

Total person with Y = 10 and is an employee = 2

Probability that this person is an employee = 2/3 = 0.667

OPtion C

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