Wait times for a tour at the zoo can be pretty long. Adam is waiting and takes notes of his findings. He notices that at the zoo, when there is no more than 5 people (waiting for a tour) and no less than 5 zoo workers (tour guides),he is able to get a tour guide within one minute or 60 seconds.

X and Y are the number of people waiting and the number of zoo workers, here are Adam's estimates: E[X] = 9, SD(X) =2, E[Y]

i. Find the best bounds for which the chance of there being no more than 5 people waiting for a tour.

ii. Find the best bounds for which the chance of there being no fewer that 5 zoo workers (tour guides) .

iii. Now find the best bounds for Adam getting a in one minute or 60 seconds.