The lecture Random Variables by David Spade, PhD is from the course Statistics Part 1. It contains the following chapters:
Which of the following describes a numeric value based on the outcome of a random event?
Suppose in a particular game, you flip a coin. You get two points if the coin comes up heads, and you lose one point if the coin comes up tails. The coin comes up heads with probability 1/3 and tails with probability 2/3. If X is a random variable corresponding to the number of points you get on a flip of the coin, what is the expected value of X ?
Suppose in a particular game, you flip a coin. You get two points if the coin comes up heads, and you lose one point if the coin comes up tails. The coin comes up heads with probability 1/3 and tails with probability 2/3. If X is a random variable corresponding to the number of points you get on a flip of the coin, what is the variance of X ?
Suppose in a particular game, you flip a coin. You get two points if the coin comes up heads, and you lose one point if the coin comes up tails. The coin comes up heads with probability 1/3 and tails with probability 2/3. You flip the coin twice, independently. If X is the number of points you score on the first flip, and Y is the number of points you score on the second flip, what are the expected value and the variance of the total number of points you score for the two flips?
Which of the following is true of random variables?
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