1. A small town has 5600 residents. The residents in the town were asked whether
ID: 2440036 • Letter: 1
Question
1. A small town has 5600 residents. The residents in the town were asked whether or not they favored t building a new bridge across the river. You are given the following information on the residents' responses broken down by gender In Favor Opposed Total Men WomenTotal 1400 840 2240 280 3080 3360 1680 3920 5600 A) What is the probability of a randomly selected resident being In a Woman? B) What is the probability that a randomly selected resident is a Woman and is In Favor of the bridge? C) What is the probability of a randomly selected resident being a Man or Opposed to the bridge? D) If a randomly selected resident is a Woman, what is the probability that she is Opposed to the bridge E) Are gender and opinion about the bridge mutually exclusive events? Why?Explanation / Answer
Answer
A)
Total no. of women = 3360
Total Population = 5600
Probability = 3360/5600 = 0.6
B)
Total no. of women in favor = 280
Total Population = 5600
Probability = 280/5600 = 0.05
C)
Total No. Of man = 2240 this include both favor and oppresed
Total no. female oppresed = 3080
hence total no. of population being a man or oppressed to the bridge = 3080 + 2240
Total Population = 5600
Probability = (3080 + 2240)/5600 = 0.95
D)
This is a Conditional Probability Case As we know that we have a women hence our
Sample size = 3360
Total no. female oppresed = 3080
Hence Probability that she is an oppresed = 3080/3360 = 0.91
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.