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December 31st, 2016, 06:40 AM   #1
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Pair of dice, normal distribution

A pair of fair dice rolled 180 times. Use the normal approximation method to find the probability that a total of 7 occurs
At least 25 times
Between 33 and 34 times inclusive
Less than 27 times.
how to solve? thanks
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December 31st, 2016, 01:56 PM   #2
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Prob. of a 7 is 1/6. Mean for 180 rolls is 30. Distribution is binomial. variance for 180 rolls is 180(1/6)(5/6). Therefore standard deviation is 5. Use normal table to find results. For the "between 33 and 34" question, exact answer is probably better.
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