So you have 3 phone companies: Company A has a 41% share on the market, B has 38% and C has 21%, summing up gives 100%, so they are really the only ones.
Now they say that 35% of A and B and 30% of C company customers are unsatisfied with the service.
What is probability of a satisfied customer be connected to company B?
Can anyone help me solve this, thank you!
Hello, Wright!
I agree with Opalg . . . this is Conditional Probability.
You have 3 phone companies: Company A has a 41% share on the market,
B has 38% and C has 21%, summing up gives 100%, so they are really the only ones.
Now they say that: 35% of A and B and 30% of C company customers are unsatisfied with the service.
What is probability of a satisfied customer be connected to company B?
We have: .
Let: .
Then: .
Bayes' Theorem: .
Numerator: .
Denominator:
. .
Substitute [2] and [3] into [1]: .