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 =