Conditional Probabilities

Question 1

A survey of students at a large high school reveals that 59% of the students are studying a language other than English. The options for language study at the school include Spanish, French, Japanese, and American Sign Language (ASL). Currently, 6% of the students who study a language other than English are studying ASL.Suppose we select a student from the survey at random. Given that the student is studying a language other than English, what is the probability that the person is studying ASL?

Revolt · Accepted Answer

0.102

Question 2

0.546 ✔ 0.589 0.981

Revolt · Accepted Answer

✔ 0.589

Question 3

0.546 0.589 ✔ 0.981

Revolt · Accepted Answer

✔ 0.981

Question 4

Suppose we select a resident of the apartment building at random.

Revolt · Accepted Answer

✔ cat; The probability that a randomly selected resident owns a , given that the person also owns a , is equal to approximately .: cat; The probability that a randomly selected resident owns a , given that the person also owns a , is equal to approximately .: dog; The probability that a randomly selected resident owns a , given that the person also owns a , is equal to approximately .: 0.90

Question 5

Suppose we select a resident of the apartment building at random.

Revolt · Accepted Answer

✔ dog; The probability that a randomly selected resident owns a , given that the person also owns a , is equal to approximately .: dog; The probability that a randomly selected resident owns a , given that the person also owns a , is equal to approximately .: cat; The probability that a randomly selected resident owns a , given that the person also owns a , is equal to approximately .: 0.519

Question 6

yes ✔ nonot enough information

Revolt · Accepted Answer

✔ no

Question 7

A random sample of US adults revealed that approximately 68% own their own home. In this same sample, 52% of the respondents had completed some additional form of education following high school (trade or technical school, 2-year or 4-year college, military training, etc.). Finally, 44% of respondents had completed some additional form of education following high school and owned their own home.Given that a randomly selected adult from the survey has completed some additional form of education following high school, what is the probability that the person is a homeowner?

Revolt · Accepted Answer

0.846

Question 8

Suppose we select a resident of the apartment building at random.Let event A = Lizard and event B = Dog.Are events A and B independent?

Revolt · Accepted Answer

Yes, P(A) = P(A|B).

Question 9

Let event A = Music and event B = Hatched.Are events A and B independent?

Revolt · Accepted Answer

No, P(A) ≠ P(A|B).

Conditional Probabilities Answers

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