A die is rolled eight times, and the number of 2’s that come up is tallied. If this experiment is repeated many times, find the standard deviation for the number of 2’s.
+4473 So, the experiment is repeated 8 times and the probability of getting a 2 is 1/6.
So, the mean will be 8*1/6 = 8/6 = 4/3.
The standard deviation would be 4/3 + or - 4/3 for 1 standard deviation, 4/3 + or - 2(4/3) for 2 standard deviations and so on.
+4473 So, the experiment is repeated 8 times and the probability of getting a 2 is 1/6.
So, the mean will be 8*1/6 = 8/6 = 4/3.
The standard deviation would be 4/3 + or - 4/3 for 1 standard deviation, 4/3 + or - 2(4/3) for 2 standard deviations and so on.
