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A Soft Drink Company Fills Two-Liter Bottles on Several Different

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Short Answer

A soft drink company fills two-liter bottles on several different lines of production equipment. The fill volumes are normally distributed with a mean of 1.97 liters and a variance of 0.04 (liter)2.
A) Find the probability that a randomly selected two-liter bottle would contain between 1.95 and 2.03 liters.
B) If X is the fill volume of a randomly selected two-liter bottle, find the value of x for which P(X > x) = 0.3228.


Definitions:

Matrix

A rectangular array of numbers, symbols, or expressions, arranged in rows and columns, used in mathematics and computer science.

Determinant

A scalar value that can be computed from the elements of a square matrix and offers information about the matrix, such as whether it's invertible.

Matrix

A rectangular array of numbers, symbols, or expressions arranged in rows and columns, used in linear algebra to represent linear transformations and solve systems of linear equations, among other applications.

Determinant

A scalar value that can be computed from the elements of a square matrix and provides information about the matrix, such as whether it is invertible.

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