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

Probability and Two-Way Tables Answers

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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?

A
[Image: A 5-column table has 3 rows. The first column has ...]
Option A
B
[Image: A 5-column table has 3 rows. The first column has ...]
Option B
C
[Image: A 5-column table has 3 rows. The first column has ...]
Option C
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4

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

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

Question illustration
Answers:
⇒ 0.62:0.40
⇒ 0.59:0.40
⇒ no:Yes
6

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.
7

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).
8

Which statement is true?

Answer not available
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?

A
A and C
B
A and D
C
B and D
D
B and E
10

Find P(B|C).

A
P(B|C) = = 0.26
Option A
B
P(B|C) = = 0.38
Option B
C
P(B|C) = = 0.13
Option C
D
P(B|C) = = 0.16
Option D
11

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.

Answers:
Selection 1:82
Selection 2:positive Rh factor given type A blood
12

✔ 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

Answer not available

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