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When one six-sided die is rolled, the die roll (or number of sports showing) has a mean of 3.5 and standard deviation of approximately 1.71 Suppose you roll 50 dice.

a. Assuming all necessary conditions are satisfied, give the mean and standard deviation of the normal model the approximates the sampling distribution of the average die roll for a sample of 50 dice (show calculation, if applicable, and round your standard deviation to 3 digits after the decimal point.)

b. Find the probability that the average die roll for your 50-dice sample is 4 or more. (To show your work: Write down which calculator you are using and what values you are entering into the calculator.)