Conditional Probabilities

Question 1

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 2

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

Revolt · Accepted Answer

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 3

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 4

✔ dogcat

Revolt · Accepted Answer

✔ dog

Question 5

0.27 0.519 ✔ 0.90

Revolt · Accepted Answer

✔ 0.90

Question 6

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 7

dog ✔ cat

Revolt · Accepted Answer

✔ cat

Question 8

0.27 ✔ 0.5190.90

Revolt · Accepted Answer

✔ 0.519

Question 9

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 10

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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