Entries by Hannah Wangui

Suppose you roll a fair die n times. What is the expectations of each of the following random variables?

December 1, 2020 in /by

Suppose you roll a fair die n times. What is the expectations of each of the following random variables?(a) (5 points) A is the random variable that denotes the sum of the numbers in those rolls.(b) (5 points) B is the random variable that denotes the maximum number in the those rolls.(c) (8 points) C […]

 

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Probability

December 1, 2020 in /by

Suppose we put a total of r balls, independently one at a time, in k boxes. Probability that each ball goes into box i is pi, such that ∑i=1 pi = 1. Collision occurs when we put a ball in none empty box. There are 9 collisions if a bin is filled with 10 balls. […]

 

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probability

December 1, 2020 in /by

Suppose you flip a biased coin until two of the most recent three flips are heads. Theprobability that you see a head is p. X is the random variable that denotes the number of total flips. Ifthe first two flips are heads, then X = 2. Find the expected value of X.   Looking for […]

 

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Tom is a weatherman in New York. On days when it snows, Tom correctly predicts the snow 70% of the time. When it doesn’t snow, he correctly predicts no snow 95% of the time. In New York, it snows on 10% of all days.

November 28, 2020 in /by

Tom is a weatherman in New York. On days when it snows, Tom correctly predicts the snow 70% of the time. When it doesn’t snow, he correctly predicts no snow 95% of the time. In New York, it snows on 10% of all days. Tom’s friend Jerry is a weatherman in Alaska. Jerry claims that […]

 

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