# 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.

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.

## Answer to relevant Questions

Metropolitan Power and Light (MPL) tracks peak power usage, measured in gigawatts (GW), for its service area. MPL reports that in January peak daily demand for electrical power follows a normal distribution, with a mean of ...A recent study reports that the average number of severe potholes per mile of Interstate 576 is 4.0 (λ = 6 potholes per mile). The occurrences appear random and unrelated. Assume all the Poisson conditions regarding ...An average of four trucks per hour arrive at the receiving dock at Yuri Industries. No trucks have arrived in the last half-hour. Assuming that all Poisson conditions are met, determine the probability that you will need to ...What percentage of values in a normal distribution will be a. Between the mean and a point 1.36 standard deviations to the right of the mean? b. In an interval that starts at 1.25 standard deviations to the left of the ...Annual salaries at Courtney-Davies Worldwide Consulting follow an approximately normal pattern, with a mean wage of $82,300 and a standard deviation of $12,400. If an employee is randomly selected, how likely is it that the ...Post your question

0