In January​ 2011, the average monthly rental rate for​ one-bedroom apartments in a certain city was ​$795. Suppose rental rates across all​ one-bedroom apartments in this city follow approximately a normal​ distribution, with a standard deviation of ​$130. Find the approximate proportion of​ one-bedroom apartments for which the rental​ rate: a. is at least​ $1000 a month. b. is less than​ $500 a month. c. is between​ $500 and​ $1000 a month.

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