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 =