SOLUTION: Consider the experiment of tossing a fair coin three times and observing the number of heads that result (X = number of heads). What is the standard deviation for this distribution

Question 1151453: Consider the experiment of tossing a fair coin three times and observing the number of heads that result (X = number of heads). What is the standard deviation for this distribution?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

n = 3 is the number of coin flips (number of trials)
p = 0.5 is the probability of getting heads (probability of success)
q = 1-p = 1-0.5 = 0.5 is the probability of getting tails (probability of failure)

sigma = standard deviation of binomial distribution
sigma = sqrt(n*p*q)
sigma = sqrt(3*0.5*0.5)
sigma = 0.86602540378443
sigma = 0.866
Answer: 0.866 (answer is approximate and rounded to 3 decimal places. Use different precision if your instructor states otherwise)

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