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The average monthly mortgage payment for all homeowners in a city is $2970. Suppose that the distribution of monthly mortgages paid by homeowners in this city follow an approximate normal distribution with a mean of $2970 and a standard deviation of $460. Find to 4 decimal places the probability that the monthly mortgage paid by a randomly selected homeowner from this city is

a. less than $1100.

Probability = 

b. more than $3500.

Probability

c. between $2500 and $3280.

Probability = 

d. between $3100 and $3700.

Probability =

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