QuestionCalculate the following probabilities based on the data:
1. From the U.S.
2. At least 2 children.
3. From the U.S. and 1 child.
4. From the U.S. or 0 children.
5. From the U.S. with 3+ children.
6. 1 child and from the U.S.
Studdy Solution
STEP 1
Assumptions1. The total number of people is84. The number of people from the U.S is363. The number of people from outside the U.S is484. The number of people with0 children is205. The number of people with1 child is316. The number of people with children is77. The number of people with3 or more children is26
STEP 2
First, let's find the probability that someone is from the U.S. The probability is the ratio of the number of people from the U.S to the total number of people.
STEP 3
Now, plug in the given values for the number of people from the U.S and the total number of people to calculate the probability.
STEP 4
Calculate the probability that someone is from the U.S.
STEP 5
Next, let's find the probability that someone has at least2 children. The probability is the ratio of the number of people with2 or more children to the total number of people.
STEP 6
Now, plug in the given values for the number of people with2 or more children and the total number of people to calculate the probability.
STEP 7
Calculate the probability that someone has at least2 children.
STEP 8
Next, let's find the probability that someone is from the U.S and has one child. The probability is the ratio of the number of people from the U.S with one child to the total number of people.
STEP 9
Now, plug in the given values for the number of people from the U.S with one child and the total number of people to calculate the probability.
STEP 10
Calculate the probability that someone is from the U.S and has one child.
STEP 11
Next, let's find the probability that someone is from the U.S or has0 children. The probability is the sum of the probabilities of being from the U.S and having0 children, minus the probability of both events occurring (since they can overlap).
STEP 12
Now, plug in the given values for the probabilities of being from the U.S, having0 children, and both events occurring to calculate the probability.
STEP 13
Calculate the probability that someone is from the U.S or has0 children.
STEP 14
Next, given that the person is from the U.S, let's find the probability that they have3 or more children. The probability is the ratio of the number of people from the U.S with3 or more children to the number of people from the U.S.
STEP 15
Now, plug in the given values for the number of people from the U.S with3 or more children and the number of people from the U.S to calculate the probability.
STEP 16
Calculate the probability that, given the person is from the U.S, they have3 or more children.
STEP 17
Finally, given that the person has child, let's find the probability that person is from the U.S. The probability is the ratio of the number of people with child from the U.S to the number of people with child.
STEP 18
Now, plug in the given values for the number of people from the U.S with child and the number of people with child to calculate the probability.
STEP 19
Calculate the probability that, given the person has1 child, that person is from the U.S.
The probabilities are as follows- The probability that someone is from the U.S is.429- The probability that someone has at least children is.393- The probability that someone is from the U.S and has one child is.214- The probability that someone is from the U.S or has children is.596- Given that the person is from the U.S, the probability that they have3 or more children is.194- Given that the person has1 child, the probability that person is from the U.S is.581
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