The amount of time spent commuting one-way to university by students follows a normal distribution with a mean of 22 minutes and a standard deviation of 7 minutes. a) If a student is randomly selected, what is the probability that it will take the student more than 18 minutes to commute to the university? b) A university researcher wishes to know the time, t, where less than 18% of the students take to commute to the university. c) If a random sample of 121 students are randomly selected, what is the probability that the mean commuting time for the sample is between 23 and 24 minutes?

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