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

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The binomial distribution is a special case of the Poisson distribution.

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Consider the figure below. It shows three cumulative distributions functions for the exponential distribution with various parameters:

Identify the color of these distributions.

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A continuous random variable can take on a infinite number of possible values.

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Find the expected value of X, where X is a random variable with the following pdf:

f(x) = 2x2 for 0 < x < 1

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The binomial distribution is negatively skewed when the probability of success (p) is close to 1.

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Consider the continuous random variable X with probability density function f(x) and cumulative density function F(x). Then, P(X = 0)

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The cumulative distribution function (CDF) of a continuous random variable is always a non-decreasing function.

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An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. What is the probability that the first strike occurs before the fourth well drilled?

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