You roll a dice four times. a) Compute the probability, expected value and variance of getting a four three times. b)How would the expected value and variance change if we were interested in the probability  of getting a four twice? Explain your answer. c)What distribution would you have used if you had rolled the dice only once?

MATLAB: An Introduction with Applications
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You roll a dice four times.
a) Compute the probability, expected value and variance of getting a four three times.
b)How would the expected value and variance change if we were interested in the probability 
of getting a four twice? Explain your answer.
c)What distribution would you have used if you had rolled the dice only once?
d) What distribution would you have used if you had rolled the dice 100,000 time?

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