EQT 272 PROBABILITY AND STATISTICS
SEMESTER 1
2012/2013
Question 2:
In a genetics experiment, the researcher mated two Drosophila fruit flies and observed the traits
of 300 offspring. The results are shown in the table.
Wing Size
Eye color
Normal
Miniature
Normal
140
6
Vermillion
3
151
One of these offspring is randomly selected.
a) What is the probability that the fly has normal eye color and normal wing size?
(2 Marks)
b) What is the probability that the fly has vermillion eyes?
(2 Marks)
c) What is the probability that the fly has either vermillion eyes or miniature wings?
(4 Marks)
a) Let A = fly has normal eye color, B = fly has normal wing size
Probability that the fly has normal eye color and normal wing size
1M
=
P
(
A
B
)
1A
140
7
=
. 0
4667
300
15
b) Let C = fly that has vermillion eyes
1M, 1A
3
151
77
P
(C
)
. 0
5133
300
150
c) Let D = fly that has miniature wings
6
151
157
P
(D
)
. 0
5233
1M, 1A
300
300
P
(
C
D
)
P
(
C
)
P
(
D
)
P
(
C
D
)
77
157
151
8
1M, 1A
=
. 0
5333
150
300
300
15