Beer bottles are filled so that they contain an average of 440 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 6 ml. [You may find it useful to reference the z table.] a. What is the probability that a randomly selected bottle will have less than 436 ml of beer? (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability b. What is the probability that a randomly selected 6-pack of beer will have a mean amount less than 436 ml? (Round intermediate calculations to at least 4 decimal places, “z" value to 2 decimal places, and final answer to 4 decimal places.) Probability c. What is the probability that a randomly selected 12-pack of beer will have a mean amount less than 436 ml? (Round intermediate calculations to at least 4 decimal places, “z" value to 2 decimal places, and final answer to 4 decimal places.)

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.