Suppose that a fair die is rolled 2000 times. Using the normal approximation find out the following probabilities.
(a) What is the probability that the number 4 occurs between 300 and 351 (inclusive) times?
(b) If the manbes 4 occurs exactly 250 times, then find the probability that the number 3 will appear less than 310 times
(c) What is the probability that the number 2 will occur exactly 341 times?
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