8· The following table shows the number of Females and Males who each have a giv
ID: 2922135 • Letter: 8
Question
8· The following table shows the number of Females and Males who each have a given eye color. Eye Color Black Brown lueen Gray Female 20 Male 25 115 112 120 10 30 10 10 a) If two different people are randomly selected from the given subjects, find the probability that they are all Females AND have Green eyes. Assume that section are made WITHOUT REPLACEMENT. 5 pt. b) If one person is randomly selected from the given subjects, find the probability that the 5 pt person is a Male OR has Brown eyes. 10 pt. Of the 57 people who answered "yes" to a question, 8 were male. Of the 61 people that answered "no" to the question, 5 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male? Construct a table and solve the given problem. 9.Explanation / Answer
Answer:
8.
Black
Brown
Blue
Green
Gray
Total
Female
20
30
10
15
10
85
male
25
15
12
20
10
82
Total
45
45
22
35
20
167
a).
Probability of selection first person female with green eye =15/167
Probability of selection second person female with green eye =14/166
The required P = (15/167)*(14/166)
=0.007575
b).
P=(82+45-15)/167
=0.670659
9).
Yes
No
Total
Male
8
5
13
Female
49
56
105
Total
57
61
118
P =(57+13-8)/118 =62/118
=0.525424
Black
Brown
Blue
Green
Gray
Total
Female
20
30
10
15
10
85
male
25
15
12
20
10
82
Total
45
45
22
35
20
167
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