Respuesta :
Answer:
Probability that a customer pays the bill by mail, given that the customer is female is 0.20.
Step-by-step explanation:
The complete question is:
Online By Mail Total
Male 12 8 20
Female 24 6 30
Total 36 14 50
A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.
Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)
[tex]\frac{6}{50}[/tex]P(Pays bill by mail/Customer is female) = [tex]\frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}[/tex]
Now, Probability that customer is female = [tex]\frac{30}{50}[/tex]
Also, Probability that customer pays bill by mail and is female = [tex]\frac{6}{50}[/tex]
So, Required probability = [tex]\frac{\frac{6}{50} }{\frac{30}{50} }[/tex]
= [tex]\frac{6}{50}\times \frac{50}{30}[/tex]
= [tex]\frac{1}{5}[/tex] = 0.20
Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.
