Acertain city is experiencing a big crime wave. the city decides that it needs to put its police officers out into the streets to bring back security. the city is conveniently arranged into a 100 × 100 grid of streets. each street intersection can be identified by two integers (a, b) where 1 sas 100 and 1 s b s 100. the city 20x 20 subgrid (corresponding to grid points (a. b) with a s a 3a+ 19 and b sbsb+ 19 for valid (a) use the chernoff bound to compute the probability that a single subgrid gets at most 10 police (b) use the union bound together with the result from above to calculate the probability that the city a, b) gets more than 10 police officers. officers fails to meet its goal.