# normal distribution

**Question description**

Problem: In a factory that produces wire, the spooling machine is programed to put 3,500 feet of wire on each spool. The company ran the machine and then measured how much wire was actually on each spool. they found that the mean length was actually 3,510 feet and the standard deviation was 25 feet. They then ran the machine again and produced a sample of 400 spools of wire. Assume that the data is normally distributed.

Q: how many spools have less than 3,485 feet of wire?

Q: How many spools have at least 3,510 feet of wire?

Q:How many spools have between 3,485 and 3,560 feet of wire?

Q:How many spools are within one standad deviation of the mean?

Q; How many spools have less tthan 3,560 feet of wire?

Q; how many spools make this inequality true: amount of wire >3,485 feet?

Q; How many spools make this inequality true: 3,460 ft <amount of wire< 3,560 feet?

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