(i)[3]
A random sample of $8$ adults is selected from Marumbo. Find the probability that the number of adults who own a cell phone lies between $4$ and $6$ inclusive.
(ii)[5]
A random sample of $160$ adults is selected from Marumbo. Use an approximation to find the probability that more than $114$ of them own a cell phone.
(iii)[1]
Justify why the approximation is appropriate in part (ii).