Question: Weight loss by individuals after a certain diet program is measured as 'Weight before - Weight after'. While it is likely for many individuals to lose weight from a particular diet program, it is also possible for them to gain weight. 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 \(\mathrm{kg}\) and a standard deviation of \(2.5 \mathrm{~kg}\).

1. What proportion of the dieters lost more than \(10 \mathrm{~kg}\) ?
2. What proportion of the dieters gained weight?
3. If a dieter is selected at random, what is the probability that the dieter lost at most \(5 \mathrm{~kg}\) ?

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