The amount of time travelers at an airport spend with customs officers has a mean of 32 seconds and a standard deviation of 10 seconds. For a random sample of 50 travelers, answer the following questions.

a) Can we assume the sampling distribution of sample means is normally distributed? Why?(1 marks)

b) What's the probability that in a second sample the mean will be less 31 seconds.(3 marks)

c) What is the probability that the mean of the 50 travelers at customs is between31 and 35 ? (3 marks)

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