An online shop sells a computer game at an average rate of 1 per day.
Find the probability that the shop sells more than 10 games in a 7 day period.
Once every 7 days the shop has games delivered before it opens.
Find the least number of games the shop should have in stock immediately after a delivery so that the probability of running out of the game before the next delivery is less than 0.05
In an attempt to increase sales of the computer game, the price is reduced for six months. A random sample of 28 days is taken from these six months. In the sample of 28 days, 36 computer games are sold.
Using a suitable approximation and a \(5 \%\) level of significance, test whether or not the average rate of sales per day has increased during these six months. State your hypotheses clearly.