It has been found that times taken by people to complete a particular tax form follow a normal distribution with mean 100 minutes and standard deviation 30 minutes.

(a) What is the probability that a randomly chosen person takes less than 85 minutes to complete this form?

(b) What is the probability that a randomly chosen person takes between 70 and 130 min-1 utes to complete this form?

(c) Five percent of all people take more than how many minutes to complete this form?

(d) Two people are chosen at random. What is the probability that at least one of them takes more than an hour to complete this form?

(e) Four people are chosen at random. What is the probability that exactly two of them take longer than an hour to complete this form?

(f) For a randomly chosen person, state in which of the following ranges (expressed in minutes) time to complete the form is most likely to lie. 70-90 90-110 110-130 130-150 (g) For a randomly chosen person, state in which of the following ranges (expressed in minutes) time to complete the form is least likely to lie. 70-90 90-110 110-130 130-150