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

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

Question 2

Answer the questions to determine if events N and V independent. Round your answers to the nearest hundredth.

Revolt · Accepted Answer

0.62; 0.59; no

Question 3

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

Revolt · Accepted Answer

Answer image: https://r22.core.learn.edgenuity.com//media.edgenuity.com/EVresources/e6f4824dd8fdd27e5ada767aa95bddff.png

Question 4

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) = Are events N and V independent events? Yes or no?

Revolt · Accepted Answer

⇒ 0.62: 120579; Part 2: 0.59; Part 3: no

Question 5

Which statements are true? Check all that apply.

Revolt · Accepted Answer

Fourteen eleventh graders prefer math and eight tenth graders prefer English.; Twenty-three ninth graders and thirty-five twelfth graders prefer math.

Question 6

1845✔ 8285

Revolt · Accepted Answer

82; The probability that a person has a positive Rh factor given that he/she has type O blood is percent.: 82; There is a greater probability for a person to have a than a person to have a positive Rh factor given type O blood.: positive Rh factor given type A blood

Question 7

Is Miguel’s claim correct?

Revolt · Accepted Answer

Yes, the two events are independent because P(NF|PB) = P(NF).

Question 8

Which statement is true?

Revolt · Accepted Answer

Event F for female and event D for drama are independent events.

Question 9

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 and C

Question 10

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.

Probability and Two-Way Tables Answers

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