# Question

Weight loss after two months on the Davies Diet has a uniform distribution defined by the following probability density function:
where x = values for the “weight loss” random variable.
a. Determine the probability that weight loss will be between 18 and 21 lbs.
b. Determine the probability that weight loss will be less than 17 lbs.
c. Determine the mean (expected value), the variance and the standard deviation of the “weight loss” random variable.
d. Show that the total area associated with the probability density function here is 1.0. That is, demonstrate that P(15 ≤ x ≤ 25) = 1.0. Explain the significance of this property.

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