The monthly utility bills in a city are normally distributed, with a mean of $$100$ and a standard deviation of $$13.$ Find the probability that a randomly selected utility bill is

$($a$)$ less than $$65,($b$)$ between $$90$ and $$100,$ and $($c$)$ more than $$130.$Question content area bottomPart $1($a$)$ The probability that a randomly selected utility bill is less than $$65$ is enter your response here. $($Round to four decimal places as needed.$)$Part $2($b$)$ The probability that a randomly selected utility bill is between $$90$ and $$100$ is enter your response here.$($Round to four decimal places as needed.$)$Part $3($c$)$ The probability that a randomly selected utility bill is more than $$130$ is