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

Last updated 5 months ago
22 questions
Some of these are in 5.3c
1
On the AP Exam (and my test), you are provided with the following two equations:

General Addition Rule



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


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|BC)=P(A)

This also means the equation above becomes:

P(A and B) = P(B) * P(A), for independent events.
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Use the Conditional Probability Equation to solve this.

Answer as a decimal rounded to two places

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Use the Conditional Probability Equation to solve this.

Answer as a decimal rounded to two places

1

Answer as a fraction that is NOT simplified

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Answer as a fraction that is NOT simplified

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Explain your answer

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

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

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

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

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Explain why or why not

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Answer as a decimal rounded to two places

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Answer as a decimal rounded to two places

1

Answer as a fraction that is NOT simplified

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Answer as a decimal rounded to two places

1

Answer as a decimal rounded to two places

1

Answer as a fraction that is NOT simplified

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

Explain.

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"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

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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

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Answer as a decimal rounded to two places