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You will roll two standard dice together 5 times. You are interested in the outcome where...

You will roll two standard dice together 5 times. You are interested in the outcome where both dice are six. Let X be the number of times you observe this outcome. Answer following questions.

1) What are the possible values for X? (values the random variable X can take)

2) Is X binomial random variable? If so, state its parameter n and p. If not, explain why.

3) Find the probability that you will see both dice being six at least once. Round your answer to the three decimal places.

4) Find mean and variance of X.

Math   Statistics-And-Probability   
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