The cookies are produced so that the weight of each cookie is normally distributed with a mean of 25g and a standard deviation of 0.8g. The cookies are then packaged in groups of 12, with an advertised net weight of 295g. you must provide logical

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A company produces a range of snack foods, including cookies. The cookies are produced so that the weight of each cookie is normally distributed with a mean of 25g and a standard deviation of 0.8g. The cookies are then packaged in groups of 12, with an advertised net weight of 295g. you must provide logical working that includes the Excel
function, the Excel output and an appropriate diagram.

i) State the distribution of the mean of a sample of 12 randomly selected cookies (that is, X ) and give the value(s) of its parameter(s). 
ii) Determine the mean weight of cookies in a pack in order for the total contents to be 295g. Hence determine the probability that a randomly selected pack of cookies has a weight that is below the advertised weight.

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