7. 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?​
Online|By Mail
Male| 12 |8
Female| 24| 6

24+6=30 are female, so 6/30

To find the probability that a customer pays the bill by mail, given that the customer is female, we need to use conditional probability.

Conditional probability is calculated by dividing the probability of the intersection of two events by the probability of the given condition. In this case, the given condition is that the customer is female.

To find the intersection of paying by mail and being female, we look at the "Female | By Mail" cell, which has a value of 6.

To find the probability of being female, we add up the values in the "Female" row, which are 24 (Online) and 6 (By Mail), giving us a total of 30.

Therefore, the probability that a customer pays the bill by mail, given that the customer is female, is:

(Intersection of paying by mail and being female) / (Probability of being female)
= 6 / 30
= 0.2 or 20%

So, the probability is 20% that a customer pays the bill by mail, given that the customer is female.