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

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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 normal distribution is defined for all real numbers.

100%
0%
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d) If the 3rd customer to sign up for the loyalty card is the 15th customer approached, would this outcome surprise you? Explain why or why not.

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c) Assuming you were to use a continuous distribution to approximate this probability and wished to apply a continuity correction, which probability would you compute?

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b) In this context, assuming the conditions for the binomial hold, would it make sense to use the normal approximation to the binomial?

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f) Are the two variables statistically independent? Justify your answer and present any relevant calculations. 

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