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please help The following questions can be done using pen, paper and the standard normal tables. However, it is useful to be able to perform

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The following questions can be done using pen, paper and the standard normal tables. However, it is useful to be able to perform these calculations using Minitab, or indeed Geogebra (www . geogebra. org). Task 2 In the mass production of an item, the critical parameter is the item's mass and this is thought to be normally distributed with mean 40g and standard deviation 2.4g. A single item is randomly selected from the output and its mass measured. How likely is it that the mass will be: (a) less than 44g? (b) less than 42g? (c) more than 43g? (d) less than 35g? (e) greater than 39g? (f) between 38.5g and 44.5g? (g) within 2g of the mean? (h) If the tolerance for this process is specified as 40 + 1.5g, then what proportion of output will be outside specification? Note: Minitab, just like the Standard Normal Tables, produces only probabilities for less than scenarios, i.e. of the form P(X

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