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[AP Statistics] 6.2b Combining Random Variables

Last updated 5 months ago
22 questions
1

1

Interpret the mean of D

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Round to two decimal places

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Interpret the standard deviation of D.

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What values of D correspond to Morgan winning?

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What is the probability that Morgan will make more baskets than Tim in a randomly selected match? Assume that the distribution of scoring for each of them is normally distributed.

Round to two decimal places.

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Enter just the mean of the sum below. Round to the nearest dollar. No dollar signs or commas.

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Interpret the mean of the sum

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Enter the standard deviation of the sum. Round to the nearest dollar. No dollar signs or commas.

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Interpret the standard deviation of the sum

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Round to the nearest tenth of a unit.

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Assume the individuals are independent. Find the mean of W. Round to the nearest dollar. No dollar signs or commas.

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Find the Standard Deviation of W. Round to the nearest dollar. No dollar signs or commas.

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What is W measuring in the context of this problem?

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How does the mean and standard deviation of W compare to the mean and standard deviation of covering only 1 person?

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Find the Mean of V. Round to the nearest dollar. No dollar signs or commas.



When you have more than two random variables, you can still find the mean by adding up all of the individual means.


1

Find the standard deviation of V. Round to the nearest dollar. No dollar signs or commas.

When you have more than two random variables, you can find the standard deviation by taking the square root and adding up all of the individual variances.


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How does the mean and standard deviation of V compare to the mean and standard deviation of covering only 1 person or covering two people (W above)?

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The time for the entire process T = X + Y

What is the mean of T?

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What is the standard deviation of T? Round to the nearest hundredth

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Answer as a decimal and round to the nearest hundredth

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Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.