The average amount of money spent for lunch per person in the college cafeteria is $5.54 and the standard deviation is $2.64. Suppose that 11 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 5.54 b. What is the distribution of ¤? ¤ - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.186 and $7.284. d. For the group of 11 patrons, find the probability that the average lunch cost is between $6.186 and $7.284. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes o

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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.