$21\mathrm{.}25)$ Use python to perform the numerical integration

$21\mathrm{.}25$ A transportation engineering study requires that you determine the number of cars that pass through an intersection during morning rush hour. You stand at the side of the road and count the number of cars that pass every $4$ minutes at several times as tabulated below. Use the best numerical method to determine

$($a$)$ the total number of cars that pass between $7$:$30$ and $9$:$15,$ and

$($b$)$ the rate of cars going through the intersection per minute. $($Hint: Be careful with units.$)$

$\backslash$table$[[$Time $($hr$),7$:$30,7$:$45,8$:$00,8$:$15,8$:$45,9$:$15$