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)
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})}](https://tex.z-dn.net/?f=%5Cfrac%7BP%28%5Ctext%7BPays%20bill%20by%20Mail%7D%5Cbigcap%20%5Ctext%7B%20Customer%20is%20Female%7D%29%7D%7BP%28%5Ctext%7B%20Customer%20is%20Female%7D%29%7D)
Now, Probability that customer is female = ![\frac{30}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B50%7D)
Also, Probability that customer pays bill by mail and is female = ![\frac{6}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B50%7D)
So, Required probability = ![\frac{\frac{6}{50} }{\frac{30}{50} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B6%7D%7B50%7D%20%7D%7B%5Cfrac%7B30%7D%7B50%7D%20%7D)
= ![\frac{6}{50}\times \frac{50}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B50%7D%5Ctimes%20%5Cfrac%7B50%7D%7B30%7D)
=
= 0.20
Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.
Answer: See below
Step-by-step explanation:
number of yellow pieces/number of blue pieces
= 14/24
= 7/12 --> 7 to 12 --> 7:12
The ratio that represents the number of yellow pieces to the total number of pieces is part-to-whole
number of yellow pieces/total number of pieces
= 14/100
= 7/50 --> 7 to 50 --> 7:50
The ratio that represents the number of blue pieces to the total number of pieces is part-to-whole
= 24/100
= 6/25 --> 6 to 25 --> 6:25
It should be D
Explanation:
“Four-tenths (0.4) plus thirty-four hundredths (0.34).”
0.4
0.34
——-
0.74
Hope this helps! :D
Answer
5 and 90
Step-by-step explanation: