Question 7 options: The Contingency table cross classifies institutions of highe
ID: 3150876 • Letter: Q
Question
Question 7 options: The Contingency table cross classifies institutions of higher education in the United States by region and type, public or private.
Public
Private
Sub Totals
Northeast
6
14
20
Mideast
4
12
16
South
15
9
24
West
15
25
40
Sub Totals
40
60
100
Suppose an institution of higher education is selected at random. Determine the probability the institution obtained
A. is located in the west?
B. is located in the Mideast and is a Public Institution?
C. is located in the West or is is a Private Institution?
D. is located in the Mideast and Northeast
E. What events are compliments of each other?
Public
Private
Sub Totals
Northeast
6
14
20
Mideast
4
12
16
South
15
9
24
West
15
25
40
Sub Totals
40
60
100
Explanation / Answer
A.The probability that an institution of higher education is selected at random is located in the west is:
40/100=0.4
B. The probability that an institution of higher education is selected at random is located in the Mideast and is a Public Institution is:
4/100=0.04
C. The probability that an institution of higher education is selected at random is located in the West or is a Private Institution is:
P(West)+P(Public Institution)-P(West and Public institution)
=40/100+40/100-15/100
=0.4+0.4-0.15
=0.65
D. The probability that an institution of higher education is selected at random is located in the Mideast and Northeast is: 0
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