Problem 13. Suppose a mechanical engineer designs a machine to punch holes in a piece of sheet metal. The intended hole size is 100 mm, and the machine's hole-punching follows a normal distribution with u = 100mm and o 2mm. He wants to sell the machine to a manufacturing company whose tolerance for error is 2.5 mm (that is, if the hole is punched either 2.5 mm too big, or 2.5 mm too small, then the sheet metal won't be useable). What is the probability that his machine will punch holes in the sheet metal according to the manufacturer's tolerance? 2 /2 Activity Details this topic 019 10:57 AM NON 14

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Problem 13. Suppose a mechanical engineer designs a machine to punch holes in a piece
of sheet metal. The intended hole size is 100 mm, and the machine's hole-punching
follows a normal distribution with u = 100mm and o 2mm. He wants to sell the
machine to a manufacturing company whose tolerance for error is 2.5 mm (that is, if the
hole is punched either 2.5 mm too big, or 2.5 mm too small, then the sheet metal won't
be useable). What is the probability that his machine will punch holes in the sheet metal
according to the manufacturer's tolerance?
2
/2
Activity Details
this topic
019 10:57 AM
NON
14
Transcribed Image Text:Problem 13. Suppose a mechanical engineer designs a machine to punch holes in a piece of sheet metal. The intended hole size is 100 mm, and the machine's hole-punching follows a normal distribution with u = 100mm and o 2mm. He wants to sell the machine to a manufacturing company whose tolerance for error is 2.5 mm (that is, if the hole is punched either 2.5 mm too big, or 2.5 mm too small, then the sheet metal won't be useable). What is the probability that his machine will punch holes in the sheet metal according to the manufacturer's tolerance? 2 /2 Activity Details this topic 019 10:57 AM NON 14
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