My Math Forum Pair of dice, normal distribution

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 December 31st, 2016, 05:40 AM #1 Newbie   Joined: Dec 2016 From: Pakistan Posts: 3 Thanks: 0 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
 December 31st, 2016, 12:56 PM #2 Global Moderator   Joined: May 2007 Posts: 6,805 Thanks: 716 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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### using normal distribution, a pair of dice is rolled 180 tine.find the probability that the total of 7 occurs atleast 25 times

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