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The characteristics of an industrial filling process in which an expensive liquid is injected into a...

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.

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

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