Three fair coins are labeled with a zero (0) on one side and a one (1) on the other side. Jimmy flips all three coins at once and computes the sum of the numbers displayed. He does this over 1000 times, writing down the sums in a long list. What is the expected standard deviation of the sums on this list?
Choose the correct choice from the following options
A) 1/2  B) 3/4  C) √3/2  D) √5 /2  E) 5/4
variance of binomial distribution is n*p*(1-p), n = 3, p = 1/2   variance = 3*1/2*(1-1/2)= 3/4   stddev = sqrt(variance) = sqrt(3)/2   After many trials sample standard deviation is close to theoretical standard deviation = sqrt(3)/2.   √3/2 is the answer.
<result>C</result>
Three fair coins are labeled with a zero (0) on one side and a one (1) on the other side. Jimmy flips all three coins at once and computes the sum of the numbers displayed. He does this over 1000 times, writing down the sums in a long list. What is the expected standard deviation of the sums on this list?