Question

7.

Answer 1

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)

$\frac{6}{50}$P(Pays bill by mail/Customer is female) = $\frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}$

Now, Probability that customer is female =  $\frac{30}{50}$

Also, Probability that customer pays bill by mail and is female =   $\frac{6}{50}$

So, Required probability =  $\frac{\frac{6}{50} }{\frac{30}{50} }$

                                         =  $\frac{6}{50}\times \frac{50}{30}$

                                         =  $\frac{1}{5}$   =  0.20

Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.