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

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The Bernoulli distribution can be considered a special case of the binomial distribution.

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Bob is a high school basketball player. He is a 70% free throw shooter. That means his probability of making a free throw is 0.70. During the season, what is the probability that Bob makes his third free throw on his fifth shot?

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Among employed

women, 25% have never been married.  Suppose

we randomly sample women in a particular business office. 

What is the probability that the

first woman who says she has never been married is the fourth woman sampled?

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Among employed

men, 30% have never been married. 

What is the probability that we find the

first never-married man within the first 5 we sample?

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A portfolio is invested in stocks Alpha and Beta with 30% of the portfolio invested in Alpha. The exhibit below illustrates the covariance matrix and expected returns with respect to the portfolio.

table

The correlation coefficient (r) between alpha and beta is closest to:

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Which correlation coefficient best matches the scatterplot shown below?

Scatterplot C

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Which correlation coefficient best matches the scatterplot shown below?

Scatterplot B

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The cumulative probability function of the daily number of customers visiting a retail store during a specific time slot () is given in the table below.

The expected value and variance of the daily number of costumers visiting the store are, respectively,

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Which correlation coefficient best matches the scatterplot shown below?

Scatterplot C

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