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.

Suppose that the New England Colonial baseball team has a very high chance of not winning a particular game. Also, suppose you pick a random sample of 30 colony games.   Answer the following. (a)          Estimate the number of games in the sample that the Colonials win 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.

The time taken by employees at Grace Floral shop to put a bouquet together has a normal distribution with mean 26.4 minutes and standard deviation .8 minutes. (i) Find the probability that an employee chosen at random takes between 24.6 and 27.8 minutes to put a bouquet together. (ii) 12% of employees take more than t minutes to put a bouquet together. (ii) Find the value of t.

Suppose that a recent poll found that 41% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 250 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor. The mean of X is 103. (Round to the nearest whole number as needed.) The standard deviation of X is 7.8. (Round to the nearest tenth as needed.) (b) Interpret the mean. Choose the correct answer below. O A. For every 103 adults, the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor. OB. For every 250 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. OC. For every 250 adults, the mean is the range that would be expected to believe that the overall state of moral values is poor. OD. For every 250 adults, the mean is the minimum number…