Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $110.82. Assume the amounts are normally distributed with standard deviation $20.00. Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $126? (b) What proportion of bills are between $83 and $137? (c) What is the probability that a randomly selected household had a monthly bill less than $112? Round the answers to at least four decimal places.

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