1) In a rectangular area of 4000m long and 2500m wide, a total of 500,000 nodes are randomly deployed. Each sensor has a range of 2 meters; determine the probability that the area the area is: a. at least one covered b. exactly one covered c. exactly two covered d. at least two covered e. not covered by any sensor. Use the following equation to calculate the probability that an area is m covered: P(m)=m!(S)meS