Probability and Two-Way Tables

Question 1

Find P(B|C).

Revolt · Accepted Answer

B: P(B|C) = = 0.38

Question 2

Out of 106 total sophomores, there were forty-eight boys who received either an A, B, or C on their first math test. Out of the twenty-eight total A’s, sixteen girls received A’s. Out of the total fifty-four B’s, thirty girls received B’s. Twelve boys received a C out of the twenty-four total C’s on the test. Which two-way table represents this information?

Revolt · Accepted Answer

B: [Image: A 5-column table has 3 rows. The first column has ...]

Question 3

What is the probability that a randomly selected person who tested positive for the flu is vaccinated?

Revolt · Accepted Answer

C:

Question 4

Which statements are true? Check all that apply.

Revolt · Accepted Answer

D: Twenty-three ninth graders and thirty-five twelfth graders prefer math.; E: Eighteen tenth graders prefer English and fourteen eleventh graders prefer math.

Question 5

Is Miguel’s claim correct?

Revolt · Accepted Answer

C: No, the two events are not independent because P(PB|NF) ≠ P(PB).

Question 6

Which statement is true?

Revolt · Accepted Answer

C: The probability of randomly selecting a male student, given that his favorite genre is horror, is .

Question 7

Consider the following events:A: The employee is male.B: The employee is female.C: The employee takes public transportation.D: The employee takes his/her own transportation.E: The employee takes some other method of transportation. Which two events are independent?

Revolt · Accepted Answer

A: A and C

Question 8

Explain why P(A|D) and P(D|A) from the table below are not equal.

Revolt · Accepted Answer

The two conditional probabilities are not equal because they have different given events, which means they use different totals (denominators). P(A|D) is the probability of A given D, so it is calculated using the total for event D as the denominator: 2/10. P(D|A) is the probability of D given A, so it is calculated using the total for event A as the denominator: 2/8. Since 2/10 does not equal 2/8, the probabilities are not equal.

Question 9

Which of the following did you include in your response? Check all that apply.

Revolt · Accepted Answer

AssessCtrle993dcda-e46e-11e4-93ea-bc764e044ce0_63540,AssessCtrle993dcda-e46e-11e4-93ea-bc764e044ce0_63541,AssessCtrle993dcda-e46e-11e4-93ea-bc764e044ce0_63542

Question 10

The two-way table shows the results of a recent study on the effectiveness of the flu vaccine. Let N be the event that a person tested negative for the flu, and let V be the event that the person was vaccinated.

Revolt · Accepted Answer

⇒ 0.62: 0.40; ⇒ 0.59: 0.40; ⇒ no: Yes

Probability and Two-Way Tables Answers

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