Question

7.

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
I
Male
Female
12
24
INILA​

Answer 1

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

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)

`(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 =
`(30)/(50)`

Also, Probability that customer pays bill by mail and is female =
`(6)/(50)`

So, Required probability =
`((6)/(50) )/((30)/(50) )`

=
`(6)/(50)* (50)/(30)`

=
`(1)/(5)` = 0.20

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