The probability a person living in the U. S. has a valid U. S. passport is 0.28. The probability a person living in the U. S. is not a U. S. citizen is 0.12. Assume a person living in the U. S. with a valid U. S. passport is mutually exclusive of the person being a U. S. citizen. What is the probability a person living in the U. S. has a valid U. S. passport and is not a U. S. citizen

Question

Mathematics

Justin Underwood

6 July, 11:12

The probability a person living in the U. S. has a valid U. S. passport is 0.28. The probability a person living in the U. S. is not a U. S. citizen is 0.12. Assume a person living in the U. S. with a valid U. S. passport is mutually exclusive of the person being a U. S. citizen. What is the probability a person living in the U. S. has a valid U. S. passport and is not a U. S. citizen

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Answers (1)

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Evelin Booker · Answer 1

Step-by-step explanation:

given that the probability a person living in the U. S. has a valid U. S. passport is 0.28. The probability a person living in the U. S. is not a U. S. citizen is 0.12

Assume a person living in the U. S. with a valid U. S. passport is mutually exclusive of the person being a U. S. citizen.

P (A) = Prob (a person has a valid US passport) = 0.28

P (B) = Prob (person living is not a US citizen) = 0.12

A and B' are disjoint.

Prob a person living in the U. S. has a valid U. S. passport and is not a U. S. citizen = P (AB) = P (A) - P (AB')

= 0.28-0

=0.28