In government data, a family consists of two or more persons who live together and arc rclated by blood or marriage. Choose a Canadian family at random and count the number of pcople it contains. Here is the assignment of probabilitics for your outcome: Number of persons Probability 2 3 4 5 6 7 0.42 0.23 0.21 k 0.03 0.02 (a) Find the value of k that makes the above model a legitimate probability model. (b) Using part (a), what is the expected size of the family you draw? Show your work.

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In government data, a family consists of two or more persons who live together and are related by blood or marriage. Choose a Canadian family at random and count the number of people it contains.
Here is the assignment of probabilities for your outcome:
In government data, a family consists of two or more persons who live together and arc related by
blood or marriage. Choose a Canadian family at random and count the number of people it contains.
Here is the assignment of probabilitics for your outcome:
Number of persons
Probability
2
3
4
5
6
7
0.42 0.23 0.21
k
0.03
0.02
(a) Find the value of k that makes the above model a legitimate probability model.
(b) Using part (a), what is the expected size of the family you draw? Show your work.
Transcribed Image Text:In government data, a family consists of two or more persons who live together and arc related by blood or marriage. Choose a Canadian family at random and count the number of people it contains. Here is the assignment of probabilitics for your outcome: Number of persons Probability 2 3 4 5 6 7 0.42 0.23 0.21 k 0.03 0.02 (a) Find the value of k that makes the above model a legitimate probability model. (b) Using part (a), what is the expected size of the family you draw? Show your work.
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