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Laabri

[AP Statistics] 6.1a Discrete Random Variables

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1.

a) Find the value of P(X=5), the probability that our random variable X is equal to five

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2.

b) Find the probability that a randomly selected subject plays with at most 3 toys.

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3.

a. Find P(Y < 20)

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4.

b. Express the event "at least $20 is collected" in probability notation for the random variable Y.

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5.

c. What is the probability of the above event?

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6.

a. Find the mean of Y

Round to the nearest hundredth

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7.

b. Interpret the mean of Y

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8.

Find the standard deviation of Y

Round to the nearest hundredth

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9.

Interpret the standard deviation of Y

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10.

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11.

b. What is the expected value of X?

Round to the nearest hundredth

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12.

c. Interpret the expected value of X

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13.

a. Find the standard deviation of X

Round to the nearest hundredth

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14.

b. Interpret the standard deviation of X

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15.

Find P(Y>6). Round to two decimal places.

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16.

According to Benford's law above (#10 on the formative), what proportions of the first digits in the employee's expense amounts should be greater than 6? Round to two decimal places.

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17.

How could this information be used to detect a fake expense report.

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18.

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.