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    Probability of randomly selected family

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    Select an American family randomly and count the number of people it contains. Here is the assignment of probabilities for your outcome:

    Number of persons: 2 3 4 5 6 7
    Probability: 0.42 0.23 0.21 0.09 0.03 0.02

    1) What is the probability that the family you choose has more than two people?

    2) Using the probabilities above, what is the expected size of the family you draw?

    A group of people living together at the same address is a household. Pick one American household at random and record how many people it contains. Here are the probabilities:

    Number of persons: 1 2 3 4 5 6 7 or more
    Probability: ? 0.32 0.17 0.16 0.07 0.02 0.01

    1) What is the probability that the household chosen contains only one person? Or can you tell from the information given?

    2) What is the probability that a randomly chosen household contains four or more persons? Or can you tell from the information given?

    A store runs a prize game by giving each customer a ticket that may win a prize when scratched. Printed on the ticket are the following probabilities for a customer who shops once a week:

    Amount Won Probability
    $1000 0.01
    $100 0.10
    $10 0.20

    1) What is the probability of winning nothing?

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    Solution Preview

    Number of persons: 2 3 4 5 6 7
    Probability: 0.42 0.23 0.21 0.09 0.03 0.02

    1) What is the probability that the family you choose has more than two people?

    prob = 3 people + 4 people + 5 people + 6 people + 7 people = 0.58

    2)Using the probabilities above, what is the expected size of the family ...

    Solution Summary

    Probability a randomly selected family has more than two people; household only one.

    $2.19