(Solved): 5. In this problem, consider tossing a six-sided die, with sides labeled \( 1,2,3,4,5 \), and 6 . (a ...

5. In this problem, consider tossing a six-sided die, with sides labeled \( 1,2,3,4,5 \), and 6 . (a) Using the central limit theorem, estimate the probability that during 18:000 tosses, the number 6 appears between 2,950 and 3, 050 times. (b) Again using the central limit theorem, estimate the probability that during 180,000 tosses, the number 6 appears between 29,500 and 30,500 times. (Each number from part (a) has been multiplied by a factor of 10 .)