A service center receives an average of 0.6 customer complaints per hour. Management’s goal is to receive fewer than three complaints each hour. Assume the number of complaints follows the Poisson distribution. Determine the probability that exactly four complaints will be received during the next eight hours.

Alright, lets get started.

Two sides of the rectange are 14 and s.

So, the area of the rectange would be =

So, the area of the rectange would be =

A triangle is cut from the rectangle.

The height of the triangle is =

The base of the triangle is = 14

So area of the triangle would be =

area of the triangle would be =

area of the triangle would be =

So, the area of shaded region = area of rectange - area of triangle

the area of shaded region =

As per given in question, area of shaded region is 84, hence

equation

So, this is the equation for s : Answer

Hope it will help :)