Assume that utility bills (electricity, water and gas) for a certain city have normal distribution with mean of $165 per month and standard deviation of $44 per month. (a) What is the probability that a randomly selected household in this city is paying less than $231 per month for utilities? Round to 4 decimal places. (b) What is the probability that a randomly selected household in this city is paying between $134 and $231 per month for utilities? Answer = Answer = (c) What is the probability that a randomly selected household in this city is paying more than $134 per month for utilities? Answer = Round to 4 decimal places. Answer = $ Round to 4 decimal places. (d) What should be a utility bill of a household to be in the sixty-seventh percentile of utility bills in this city? Round to 2 decimal places.

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