Probability and Two-Way Tables- assignment

A survey was conducted with high school students in each grade to see how many prefer math or English. Some of the data are shown below. Which statements are true? Check all that apply.

2- Fourteen eleventh graders prefer math and eight tenth graders prefer English. 4- Twenty-three ninth graders and thirty-five twelfth graders prefer math.

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?

Chart B

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

The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as its given event, resulting in 2/10 for a probability. P(D|A) has event A as its given event, resulting in 2/8 for a probability.

The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF). Is Miguel's claim correct?

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

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.

0.62 0.59 no

The table displays the distribution of blood types A, B, AB, and O to the presence of the Rh factor that is either present (Pos.) or absent (Neg.).

82 positive Rh factor given type A blood

Brown Law Firm collected data on the transportation choices of its employees for their morning commute. The table shows the percentages of the type of transportation of the male and female employees. 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.

A and C

Consider the two-way table below. Find P(B|C).

B -P(B|C) = = 0.38

The two-way table shows the results of a recent study on the effectiveness of the flu vaccine. What is the probability that a randomly selected person who tested positive for the flu is vaccinated?

C 465/950

The two-way table shows the distribution of gender to favorite film genre for the senior class at Mt. Rose High School.

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