It has been found that times taken by people to complete a particular tax form follow a normal distribution with a mean of 120 minutes and a standard deviation of 40 minutes.
a. What is the probability that a randomly chosen person takes less than 100 minutes to complete this form?
b. What is the probability that a randomly chosen person takes between 80 and 160 minutes to complete this form?
c. One 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 90 minutes to complete this form?
e. Five people are chosen at random. What is the probability that exactly three of them take longer than 90 minutes to complete this form?
f. For the randomly chosen person, state in which of the following ranges (expressed in minutes) the time taken to complete the form is most likely to lie. 1009120, 1109130, 1209140, 1309150
g. For a randomly chosen person, state in which of the following ranges (expressed in minutes) the time to complete the form is least likely to lie. 1009120, 1109130, 1209140, 1309150