Question

The characteristics of an industrial filling process in which an expensive liquid is injected into a container was investigated. The quantity injected per container is approximately normally distributed with mean 10 units and standard deviation 0.02 units. Each unit of fill costs ​$20 per unit. If a container contains less than 10 units​ (that is, is​ underfilled), it must be reprocessed at a cost of ​$12. A properly filled container sells for ​$245. Complete parts a through c.

a. Find the probability that a container is underfilled.

. 5 _____________(Round to four decimal places as​ needed.)

Find the probability that a container is not underfilled.

_______________​(Round to four decimal places as​ needed.)

Answer 1

An 1 Cost- 20. I unit (a unden fit