A rainstorm in Portland Oregon, wiped out the electricity in 5% of the households in the city? Suppose that a random sample of 50 Portland households is taken after a rainstorm.

(a). Estimate the number of households in the sample that lost electricity by giving the mean of the revelant distribution do not round your response.

(b). Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least 3 decimal places.