1. Listed are frequencies of individuals from five college majors and their inco
ID: 3331728 • Letter: 1
Question
1. Listed are frequencies of individuals from five college majors and their income two years after receiving their Ph.D. Frequencies are listed in the main body of the table.Use the following data set for parts a – d.
Salary (in $1000) 2 years after receiving PH.D
College Major
Range
NUT
SES
MUS
TEHE
CSD
Totals
125+
0
2
2
3
0
7
100-124
1
2
2
3
3
11
75-99
2
5
6
2
5
20
50-74
8
4
3
7
3
25
5-49
7
2
5
2
2
18
1 a) What is the probability of randomly selecting an individual making $100000-$124000?
a) 1.0
b) 0
c) 1-(11/81)
d) 13.6%
1 b) What is the probability of randomly selecting an individual who is a SES major making $50000-$74000? Express your answer as a fraction.
1 c) An individual earns $100000-$124000, what is the probability that the individual is a CSD major? Express your answer as a fraction.
1 d) What is the probability of selecting three people (without replacement) such that the first person is from SES and earns more than $74,500 and the other two are from CSD and earns less than $74,500 ? The correct answer is
a) < .001
b) less than .001 or greater than .001
c) -.05
d) impossible to compute
Salary (in $1000) 2 years after receiving PH.D
College Major
Range
NUT
SES
MUS
TEHE
CSD
Totals
125+
0
2
2
3
0
7
100-124
1
2
2
3
3
11
75-99
2
5
6
2
5
20
50-74
8
4
3
7
3
25
5-49
7
2
5
2
2
18
Explanation / Answer
a) the probability of randomly selecting an individual making $100000-$124000 =11/81=13.6%
b) the probability of randomly selecting an individual who is a SES major making $50000-$74000 = 4/81 = 0.0493
c) the probability that the individual is a CSD major who earns $100000-$124000 = 3/81= 0.375
d) the probability of selecting three people (without replacement) such that the first person is from SES and earns more than $74,500 and the other two are from CSD and earns less than $74,500
=(9/81)*(5/80)*(4/79)
=0.000353
i.e <0.001
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