SOLUTION: There are 100 employees at Kiddie Carts International. Fifty-seven of the employees are production workers, 40 are supervisors, 2 are secretaries, and the remaining employee is the

Algebra ->  Probability-and-statistics -> SOLUTION: There are 100 employees at Kiddie Carts International. Fifty-seven of the employees are production workers, 40 are supervisors, 2 are secretaries, and the remaining employee is the      Log On


   



Question 329230: There are 100 employees at Kiddie Carts International. Fifty-seven of the employees are production workers, 40 are supervisors, 2 are secretaries, and the remaining employee is the president. Suppose an employee is selected:

a. What is the probability the selected employee is a production worker?
b. What is the probability the selected employee is either a production worker or a supervisor?
c. Refer to part (b). Are these events mutually exclusive?
d. What is the probability the selected employee is neither a production worker nor a
supervisor?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) P(prod)=57%2F100
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b) P(prod or super)=P(prod)+P(super)=57%2F100%2B40%2F100=97%2F100
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c)Yes, you're either a production worker or supervisor because 57%2B40%2B2%2B1=100. I guess in this place you can't be both.
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d) Then they must be a secretary or president.
P(not prod or super)=P(secr or pres)=P(secr)+P(pres)=2%2F100%2B1%2F100=3%2F100
You could also have done it this way,
P(not prod or super)+P(prod or super)=1
P(not prod or super)=1-P(prod or super)
From b) above
P(not prod or super)=1-97%2F100=100%2F100-97%2F100=3%2F100