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[AP Statistics] 5.x extra practice (didn't use in 23-24)

Posljednje ažuriranje 12 months ago

22 questions

Some of these are in 5.3c

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Pitanje 1

1.

On the AP Exam (and my test), you are provided with the following two equations:

General Addition Rule

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Remember, if two events A and B are Mutually Exclusive, both events CANNOT happen at the same time. You can check this by verifying that P(A and B) = 0.

Applying that to the formula above, it means that you can calculate the probability of A or B by simply adding the probabilities together, assuming they are Mutually Exclusive.

P(A or B) = P(A) + P(B), if A & B are mutually exclusive

The other equation you are given:

Conditional Probability equation

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This equation can be used to calculate P(A|B). Alternatively, it can be rearranged to calculate

P(A and B), shown below

P(A n B) = P(B)*P(A|B)

Remember, if events A and B are Independent, then knowing whether or not event A happen has NO impact on whether B happens.

P(A|B)=P(A|B^C)=P(A)

This also means the equation above becomes:

P(A and B) = P(B) * P(A), for independent events.

Pitanje 2

2.

Use the Conditional Probability Equation to solve this.
Answer as a decimal rounded to two places

Pitanje 3

3.

Use the Conditional Probability Equation to solve this.
Answer as a decimal rounded to two places

Pitanje 4

4.

Answer as a fraction that is NOT simplified

Pitanje 5

5.

Answer as a fraction that is NOT simplified

Pitanje 6

6.

0

0.1

0.2

0.5

0.6

Pitanje 7

7.

Explain your answer

Pitanje 8

8.

Are "Rooting for the Home Team" and "Rooting for the Away Team" mutually exclusive events? Why or why not?

Pitanje 9

9.

Are "Rooting for the Home Team" and "Rooting for the Away Team" independent events? Why or why not?

Pitanje 10

10.

Are "Purchasing Food" and "Rooting for the Away Team" mutually exclusive events? Why or why not?

Pitanje 11

11.

Are "Purchasing Food" and "Rooting for the Away Team" independent events? Why or why not?

Pitanje 12

12.

Explain why or why not

Pitanje 13

13.

Answer as a decimal rounded to two places

Pitanje 14

14.

Answer as a decimal rounded to two places

Pitanje 15

15.

Answer as a fraction that is NOT simplified

Pitanje 16

16.

Answer as a decimal rounded to two places

Pitanje 17

17.

Answer as a decimal rounded to two places

Pitanje 18

18.

Answer as a fraction that is NOT simplified

Pitanje 19

19.

Based on these beliefs, are events A and B mutually exclusive? Are they independent? Are they both or neither?
Explain.

Pitanje 20

20.

"With replacement" means you put the candy back into the bag before you select another one. This makes the two draws independent.
Answer as a decimal rounded to two places

Pitanje 21

21.

Answer as a decimal rounded to two places
Hint: May be easier to find the complement (opposite) of what they are asking for, then subtract that from 1

Pitanje 22

22.

Answer as a decimal rounded to two places