AnswersFall 24 GMS Geometry Concepts and Connections BProbability and Two-Way Tables

Probability and Two-Way Tables Answers

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1
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Which statements are true? Check all that apply.

A
Twenty-three ninth graders and fifteen eleventh graders prefer math.
B
Fourteen eleventh graders prefer math and eight tenth graders prefer English.
C
Thirty-five twelfth graders prefer math and nine tenth graders prefer English.
D
Twenty-three ninth graders and thirty-five twelfth graders prefer math.
E
Eighteen tenth graders prefer English and fourteen eleventh graders prefer math.
2
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✔ positive Rh factor given type A bloodpositive Rh factor given type AB bloodnegative Rh factor given type A bloodnegative Rh factor given type AB blood

A
✔ positive Rh factor given type A blood
B
positive Rh factor given type AB blood
C
negative Rh factor given type A blood
D
negative Rh factor given type AB blood
120579

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.

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Answers:
⇒ 0.62:0.40
⇒ 0.59:0.40
⇒ no:Yes
120580

Use the information in the two-way table to complete the statement.

Answers:
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
120581

Is Miguel’s claim correct?

A
Yes, the two events are independent because P(NF|PB) = P(NF).
B
Yes, the two events are independent because P(PB|NF) = P(NF).
C
No, the two events are not independent because P(PB|NF) ≠ P(PB).
D
No, the two events are not independent because P(PB|NF) ≠ P(NF).
120582

Which statement is true?

A
The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.
Option A
B
Event F for female and event D for drama are independent events.
Option B
C
The probability of randomly selecting a male student, given that his favorite genre is horror, is .
Option C
D
Event M for male and event A for action are independent events.
Option D
120583

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?

A
A and C
B
A and D
C
B and D
D
B and E
120584

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

Question illustration
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.

120585

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

A
different given events
B
P(A|D) equals 2/10
C
P(D|A) equals 2/8

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Probability and Two-Way Tables Answers — Fall 24…