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When flipping a standard coin, the outcomes observed are expected to follow a Binomial distribution –...

  1. When flipping a standard coin, the outcomes observed are expected to follow a Binomial distribution – there are only two outcomes, the probabilities are identical from one trial to the next, the trials are independent, and the number of times we flip the coin is positive. Assuming that the odds of observing Heads or Tails on a given trial is 50% and we plan to flip the coin 20 times, how many Heads should we expect to observe?

  2. Given the information from the previous question, what is the probability of observing exactly 8 Heads?

  3. Given the information from question 1, what is the probability of observing no more than 8 Heads?

You observe a value of 4.95 that is randomly drawn from an F-Distribution with degrees of freedom of 8 and 10, respectively. What is the probability of randomly drawing a value that is as large or larger than 4.95 from this distribution?

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