Please help, with explanations, please. Thank you! Use the following to answer q
ID: 3202516 • Letter: P
Question
Please help, with explanations, please. Thank you!
Use the following to answer questions: Sarah Fernandez, Manager of Operations, is analyzing employee absenteeism at the San Diego Assembly Plant. Ten percent of all plant employees work in the finishing department, 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.
Draw the probability tree.
Find the probability that an employee selected at random works in the finishing department.
Find the probability that an employee selected at random works in the finishing department and is absent excessively.
Given that the employee selected at random works in the finishing department, find the probability that the employee is absent excessively.
Are the events "working in the finishing department" and "absent excessively" mutually exclusive?
Are the events "working in the finishing department" and "absent excessively" independent?
Explanation / Answer
let probabilty of absent =P(Ab) =0.20
probabilty of working in finishing department=P(F) =0.1
and probabilty of absent and working in finishing department =P(AbnF) =0.07
1)probability that an employee selected at random works in the finishing department=0.1
2) probability that an employee selected at random works in the finishing department and is absent excessively
=P(FnAb) =0.07
3)Given that the employee selected at random works in the finishing department, fprobability that the employee is absent excessively=P(Ab|F) =P(FnAb)/P(Ab) =0.07/0.1 =0.7
here Probabilty of working in the finishing department and absent excessively =P(FnAb) =0.07
which is not equal to 0. hence not mutually exclusive.
here P(F)*F(Ab) =0.1*0.2 =0.02 not equal to P(FnAb) hence not independent.