1. A small town has 5600 residents. The residents in the town were asked whether
ID: 3238513 • Letter: 1
Question
1. A small town has 5600 residents. The residents in the town were asked whether or not they favored building a new bridge across the river. You are given the following information on the residents' responses, broken down by gender:
Men Women Total
In Favor 1400 280 1680
Opposed 840 3080 3920
Total 2240 3360 5600
E) Are gender and opinion about the bridge mutually exclusive events? Why?
F) Are gender and opinion about the bridge independent events? Why? Show some "proof" with probabilities.
2. How many Combinations of 3 students can be selected from a group of 10 students?
Explanation / Answer
(e)
They are not mutually exclusive events, since every opinion is associated with a gender.
(f)
Gender and opinion are not independent events.
If they were independent, then P(MO)=P(M)*P(O)
Here P(MO)=840/5600=3/20
P(M)*P(O)=2240/5600*3920/5600=7/25
Since they are not equal, the two characteristics are not independent
2. How many Combinations of 3 students can be selected from a group of 10 students?
it s10c3 ways
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