10.
On any day, the number of orders received in one randomly chosen hour by an online supplier can be modelled by the distribution \(\operatorname { Po } ( 120 )\).
- Find the probability that at least 28 orders are received in a randomly chosen 10 -minute period.
- Find the probability that in a randomly chosen 10 -minute period on one day and a randomly chosen 10-minute period on the next day a total of at least 56 orders are received.
- State a necessary assumption for the validity of your calculation in part (b).