A consumer survey has derived the following probability distribution for the number of coffee cups drunk per day by adult New Zealanders:
|
No of cups
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
>7
|
|
Male
|
0.40
|
0.34
|
0.12
|
0.05
|
0.04
|
0.03
|
0.01
|
0.01
|
0.00
|
|
Female
|
0.47
|
0.35
|
0.08
|
0.06
|
0.02
|
0.01
|
0.01
|
0.00
|
0.00
|
A) Calculate the probability that, in a group comprising three men and two women, exactly two are coffee-drinkers.
B) State any assumptions you are making.