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The average amount of money spent for lunch per person in the college cafeteria is...

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The average amount of money spent for lunch per person in the college cafeteria is 6 18 and the standard deviation is 2 09 Suppose that 47 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 6 18 2 09 b What is the distribution of N 0 O 0 3049 O c For a single randomly selected lunch patron find the probability that this patron s lunch cost is between 6 2527 and 6 6152 d For the group of 47 patrons find the probability that the average lunch cost is between 6 2527 and 6 6152 e For part d is the assumption that the distribution is normal necessary O Yes No o

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