It is known that the time that a bank teller spends with a customer is normally distributed,with a mean of 5 minutes and a standard deviation of 1 minute.

i)What is the probability a teller spends more than 7 minutes with a customer?

ii)A teller notices that there are 10 customers in the queue but the bank will close in 45 minutes. What is the probability that the teller will serve all 10 customers before the bank closes?

iii) Historical records show that 64% of all orders placed at a takeaway food shop include a softdrink. With a random sample of 25 orders, what is the probability that more than 75 percent of the sampled orders will include a soft drink?