A balanced die with six sides is rolled 60 times.

a.For the binomial distubtion of X = Numbers of 6's, what is n, what is p, and what is q

b.Find the mean and standard deviation of the distribution of X. What do these values tell you?

c.If you observe X = 2, would you be skeptical that the die is balanced? Explained why, based on the mean and standard deviation of X

d.How long would the value of X Have to be in order to prove evidence that the die is unbalanced? Hint a binomial distribution with a high number of trails approximates the normal distribution.