What conclusion can you make from the information below?
1 answer:
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Answer:
27.98% probability that less than half of them (3 or fewer) would support the Republican candidate
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they support the Republican candidate, or they do not. The people are chosen at random, which means that the probability of them supporting the republican candidate is independent from other people. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
The Republican candidate is supported by 54%. This means that
Suppose you run a poll of 8 people (randomly choose 8 people). What is the probability that less than half of them (3 or fewer) would support the Republican candidate?
This is when
.
So
In which
So
27.98% probability that less than half of them (3 or fewer) would support the Republican candidate
Answer and explanation:
Given : Let A = {1, 2, 3, 4, 5}, let B = {1,4,5,7,8,9}, and let C = {2, 4, 6, 7,9}.
To find : Determine each of the following,
a)
b)
c)
d)
Solution :
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets.
The intersection of two sets is a new set that contains all of the elements that are in both sets.
a)
Then,
b)
c)
d)