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2.A company sells toothpaste in a tube advertised to contain 8 ounces. The tube

ID: 3058056 • Letter: 2

Question

2.A company sells toothpaste in a tube advertised to contain 8 ounces. The tube filling process is set with a mean of 8.1764 ounces. In this continuous production process, the amount of toothpaste put in a tube is normally distributed with a mean of 8.1764 ounces and a standard deviation of 0.0900 ounces. (a) If the actual capacity of the tubes used is 8.3764 ounces, what proportion of the tubes do we expect to be filled beyond capacity? oceof eed ounces? (c) In the normal distribution the probability that X > + 2 is the same as the probability that X

Explanation / Answer

2.A company sells toothpaste in a tube advertised to contain 8 ounces. The tube filling process is set with a mean of 8.1764 ounces. In this continuous production process, the amount of toothpaste put in a tube is normally distributed with a mean of 8.1764 ounces and a standard deviation of 0.0900 ounces. (a) If the actual capacity of the tubes used is 8.3764 ounces, what proportion of the tubes do we expect to be filled beyond capacity? oceof eed ounces? (c) In the normal distribution the probability that X > + 2 is the same as the probability that X