Probability and Two-Way Tables

Question 1

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 2

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

Revolt · Accepted Answer

C:

Question 3

Answer the questions to determine if events N and V independent. Round your answers to the nearest hundredth. P(N|V) = ⇒ 0.62 P(N) = ⇒ 0.59 Are events N and V independent events? Yes or no? ⇒ no

Revolt · Accepted Answer

⇒ 0.62: 0.40; ⇒ 0.59: 0.40; ⇒ no: Yes

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

Find P(B|C).

Revolt · Accepted Answer

B: P(B|C) = = 0.38

Question 9

Use the information in the two-way table to complete the statement. The probability that a person has a positive Rh factor given that he/she has type O blood is percent. There is a greater probability for a person to have a than a person to have a positive Rh factor given type O blood.

Revolt · Accepted Answer

C: 82

Question 10

Question 10

Revolt · Accepted Answer

0.40

Probability and Two-Way Tables Answers

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