As the US conducts its census, it determines that the maximum number people of a U.S. household is 6 in a specific Pennsylvania borough. The probability distribution of the size of a household in this Pennsylvania borough is shown below:
X |
1 |
2 |
3 |
4 |
5 |
6 |
f(X) |
0.01 |
0.43 |
0.36 |
0.12 |
0.07 |
0.01 |
Use this information and answer the following questions.
1.What is probability that a household in the Pennsylvania borough has 5 people?
2.What is the probability that a household in the Pennsylvania borough contains at least 4 people?
3.What is the expected number of people in a household in this Pennsylvania borough?
4. What is the standard deviation of the size of a household in this Pennsylvania borough? (use 3 decimal places)
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