$\sqrt{\frac{0.08(1-0.08)}{300}}=$
Final Answer: \(\boxed{4.698936049788292}\)
Step 1 :We are given a standard deviation calculation for a binomial distribution. The formula for the standard deviation of a binomial distribution is \(\sqrt{np(1-p)}\), where n is the number of trials and p is the probability of success.
Step 2 :In this case, n=300 and p=0.08. We can plug these values into the formula.
Step 3 :Substituting the given values into the formula, we get \(\sqrt{\frac{0.08(1-0.08)}{300}}\)
Step 4 :Solving the above expression, we get the standard deviation as 4.698936049788292
Step 5 :Final Answer: \(\boxed{4.698936049788292}\)