Question: 1. Let X be a binomial variable with n-trials and probability of success p. What is the mean of X and the standard deviation of

1. Let X be a binomial variable with n-trials and probability of success p. What is the mean of X and the standard deviation of X?

2. For the following situations, please determine if the random variable is binomial. Make sure to also briefly explain your answers: (a) A coin is tossed until it first lands Tails up. Let X be the number of heads that came before the first Tail.

(b) A 6-sided die is rolled 5 times. Let X be the number of times that the die landed on 5

3. A biased coin lands on Heads 60% of the time. The coin is tossed 100 times and X is the number of times it lands Heads. Compute P(X = 60), X, and X.

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