SOLUTION: construct the probability distribution describing the experiment of rolling a pair of dice 3 times, and counting as x the number of time a total of 9 is rolled. then find the mean
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Question 612276: construct the probability distribution describing the experiment of rolling a pair of dice 3 times, and counting as x the number of time a total of 9 is rolled. then find the mean and standard deviation of the distribution.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
construct the probability distribution describing the experiment of rolling a pair of dice 3 times, and counting as x the number of time a total of 9 is rolled. then find the mean and standard deviation of the distribution.
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Sketch the sample space of 6*6 = 36 sums
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Count the # of sums not adding up to nine and the number adding up to 9.
x = 0 ; 32 times ; probability = 32/36 = 8/9
x = 1 ; 4 times : probability = 4/36 = 1/9
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mean = np = (1/9)*36 = 4
std = sqrt(npq) = sqrt(4*8/9) = 1.8856
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Cheers,
Stan H.
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