A rainstorm in Portland, Oregon, wiped out the electricity in 5%  of the households in the city. Suppose that a random sample of 70  Portland households is taken after the rainstorm. (a) Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). 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 three decimal places.

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A rainstorm in Portland, Oregon, wiped out the electricity in 5%
 of the households in the city. Suppose that a random sample of 70
 Portland households is taken after the rainstorm.

(a) Estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). 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 three decimal places.

A machine that manufactures automobile parts produces defective parts 

13% of the time. If 9 parts produced by this machine are randomly selected, what is the probability that fewer than 2 of the parts are defective?

Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.

 

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