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The heights of women in Australia are normally distributed, with a mean of 165 centimetres and a standard deviation of 10 centimetres. If the population of women's heights were not normally distributed, which, if any, of the following questions could you answer?
a. What is the probability that a randomly selected woman is taller than 160 cm?
b. A random sample of five women is selected. What is the probability that the sample mean is greater than 160 cm?
c. What is the probability that the mean height of a random sample of 75 women is greater than 160 cm?
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