A local shipping company, Company #1, specializes in shipping small packages only.

Employees weigh outgoing packages, and find that the weights are approximately

Normally distributed with a mean of 2.3 pounds and a standard deviation of 1.2 pounds.

Another shipping company, Company #2, specializes in large pallets of containers. For

this shipping company, the weights of pallets are also approximately Normally

distributed with a mean of 266 pounds and a standard deviation of 10.7 pounds.

(a) What is the 80th percentile of small package weights at Company #1?

(b) At Company A, packages weighing more than 5 pounds require additional fees. What

proportion of small packages at this shipping company require additional fees?

(c) Which is heavier relative to other items shipped at the same company, an 8.1-pound

package at Company A or a 265-pound pallet at Company B?

(d)Show that a pallet weighing 295 pounds would be an outlier at Company B.