Answer:
The probabilities are 0.480;0.077 and 0.443 respectively
Step-by-step explanation:
This is a conditional probability exercise.
Let's define conditional probability :
Given two events A and B :
P(A,B) = P(A∩B) = P(B∩A) = P(B,A) : Is the probability that event A and event B occur at the same time.
We define the following events :
S1 : ''Specialist 1 processes requisitions''
S2 : ''Specialist 2 processes requisitions''
S3 : ''Specialist 3 preocesses requisitions''
I : ''Incorrect entered requisitions''
In our exercise :
We are ask to find
We write the conditional equations :
We also define
P(A∪B) = P(A) + P(B) - P(A∩B)
P(I) = P [(I,S1)∪(I,S2)∪(I,S3)]
There is no intersection between (I,S1);(I,S2) and (I,S3) because they are mutually exclusive events.
