Researchers studying the effects of a new diet found that the weight loss over a one-month period by those on the diet was normally distributed with a mean of 7 kg and a standard deviation of 2.5 kg.
a. What proportion of the dieters lost more than 10 kg?
b. What proportion of the dieters gained weight?
c. If a dieter is selected at random, what is the probability that the dieter lost at most 5 kg?
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