SOLUTION: A package delivery service divides their packages into weight classes. Suppose that packages in the 14 to 20 pound class are uniformly distributed, meaning that all weights within

Question 1187691: A package delivery service divides their packages into weight classes. Suppose that packages in the 14 to 20 pound class are uniformly distributed, meaning that all weights within that class are equally likely to occur.
In the light of the above case, you are required to answer the following questions:
1. Find the probability that package weighs between 15 and 16.5 pounds.
2. Find the probability that a package weighs less than 15 pounds.
3. Find the probability that a package weighs at least 18 pounds.
4. Calculate the variance and the standard deviation of the distribution.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The mean is 17 pounds (a+b)/2
between 15-16.5 pounds is 1.5 pounds, and the total range is 6 pounds. Probability is 0.25
fewer than 15 pounds is probability 1/6 (from 14-15 only).
at least 18 pounds is probability 1/3 or 2/6 (from 18-20 pounds.
sd is sqrt((b-a)^2/12)
that is sqrt(36/12) or sqrt (3), or 1.732 pounds
variance is sd ^2 or 3 pounds^2
RELATED QUESTIONS
A package delivery service divides their packages into weight classes. Suppose that... (answered by ikleyn)

A package delivery service divides their packages into weight classes. Suppose that... (answered by CPhill)

A package delivery company handles 14 million packages per year in the Midwest. if that... (answered by Cromlix)

Your company ships a lot of packages needing quick delivery and short notice. In the... (answered by jim_thompson5910)

�The United Package Service has a policy that states if a package is delivered late they... (answered by mathmate)

United Express, a national package delivery service, charges a base price for overnight... (answered by ikleyn)

at work one day erica received 36 packages. Speedy delivery delivered three times as many (answered by richwmiller)

Express Courier Service has found that the delivery time for packages is normally... (answered by stanbon)

At work one day, Erica Franz recieved 14 packages. Speedy Delivery delivered twice as... (answered by edjones)