1. The County of Erie took a random sample of registered voters in the City of B
ID: 3183636 • Letter: 1
Question
1. The County of Erie took a random sample of registered voters in the City of Buffalo and its suburbs concerning their approval or disapproval gambling casino. The following contingency table portrays the results: (5 pts)
City of Buffalo Suburbs Totals
Approved 289 114 403
Disapproved 201 396 597
Totals 490 510 1000
a. What is the probability that voters approved the gambling casino?
b. What is the probability that the voters sampled were City of Buffalo residents?
c. What is the probability that a voter was from the suburbs and disapproved of
the gambling casino?
d. What is the probability that a voter was from the City of Buffalo and approved
of the gambling casino?
e. What is the probability of the sample space?
Explanation / Answer
a) Probability that the voters approved the gambling casino
= Total number of people approved / Total population
= 403 / 1000 = 0.403
Therefore 0.403 is the required probability here
b) Probability that the voters sampled were City of Buffalo residents:
= Total number of people from City of Buffalo / Total population
= 490 / 1000 = 0.49
Therefore 0.49 is the required probability here
c) Probability that a voter was from the suburbs and disapproved of the gambling casino:
= Number of people from suburbs who disapproved / Population
= 396/ 1000
= 0.396
Therefore 0.396 is the required probability here
d) Probability that a voter was from the City of Buffalo and approved of the gambling casino:
= Number of people from City of Buffalo who approved / Population
= 289 / 1000
= 0.289
Therefore 0.289 is the required probability here
e) The sample space contains all the possible set of possibilities that could take place. Therefore the probability of the sample space is always equal to 1
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