From the data, answer the following With Solving solution: 1. What

ostric16

ostric16

Answered question

2021-12-03

From the data, answer the following With Solving solution:
1. What is the probability that it is a male or in managerial position?
2. What is the probability that it is neither male nor in managerial position
3. What is the probability that it is female or clerical portion?
PositionMaleFemaleTotalManagerial8412Engineer18725Accountant358Clerical152840Total444488

Answer & Explanation

Mary Ramirez

Mary Ramirez

Beginner2021-12-04Added 19 answers

Step 1
From the given information,
Total male candidate =44
Total female candidate =44
Total number of managerial =12
Total number of clerical =40
The grand total =88
Thus, the required probabilities can be computed as:
Step 2
a. The probability that it is a male or in managerial position can be calculated as;
Let A be the event that shows male and B be the event that shows the managerial position
Pr(male or managerial position)=Pr(male)+Pr(managerial position)Pr(male and managerial position)
Pr(AB)=P(A)+P(B)P(A and B)
=4488+1288888
=0.545455
b. The probability that it is neither male nor in managerial position can be computed as:
Let A be the event that shows male and B be the event that shows the managerial position
Thus,
Pr(AB)=1Pr(AB)
=10.545455
=0.454545
C. The probability that it is female or clerical portion can be computed as:
Let E be the event that shows male and F be the event that shows the managerial position
Thus, Pr(EF)=P(E)+P(F)P(EF)
=4488+40882888
=0.636364

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