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L15.2082 - Statistics for Business and Economics (2024/2025)

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Johny's z-score in his math exam was 1.89. What does this mean?
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Consider X, where X ~ U(1, 5). What is P(X = 2)?
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Calls to a help desk follow a Poisson process. The probability that a customer waits more than 3 minutes is 0.7. If a customer has already waited 6 minutes, what is the probability they will wait more than 9 minutes in total?
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Let X be a discrete random variable that takes value 1 with probability 0.4 and value 2 with probability 0.6. Compute the expected value of , rounding your answer to three decimal places.
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Apply the appropriate continuity correction:

(X > 7) = (X > )
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On average, 25 customers visit a coffee shop every hour. What is the probability (in %) that more than 35 customers visit in a given hour? Present the result in %, use 2 decimal values.
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Consider the following CDF for the continuous random variable X:

What is ?

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Consider the figure below. It shows three cumulative distribution functions of normal distributions with various parameters.

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Associate each pair () with the color of these distributions.

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The mean of an exponential distribution is always equal to its standard deviation.

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A normal distribution cannot have negative values.

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