For each day that I log on to the internet, the probability that I will experience a delay is 0.08. Each day can be considered independent of the other days.

(a) For the next 21 days that I log on to the internet, what is the probability that I will experience a delay on at most 3 of the days?

(b) What is the probability that my first delay will occur after the fifth day of logging onto the internet?

(c) Consider a random sample of 21 days that I log on to the internet. For the proportion of those days that I will experience a delay, is the sampling distribution of the sample proportion approximately normal? Justify your answer.