Q1 From a reputed stores record it was found that weight ofsugar bags...

Q1. From a reputed storeâ€™s record it was found that weight of sugar bags sold by...

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Q1. From a reputed storeâ€™s record it was found that weight ofsugar bags sold by it is normally distributed
Â Â Â Â Â Â with mean 1.0 lb. andstandard deviation of 40 g.
a. What is theprobability/chances/likelihood that
i. a bag selected randomly will belighter than 400 g (0.0901)
ii. a bag selected randomly will beheavier than 600 g (0.00013)
Â Â Â Â Â Â Â Â iii. the weightwill be more than 463.5 g. if a customer bought one bag,?(0.4013)
Â Â Â Â Â Â b What proportion ofcustomers are expected to buy heavier than 470 g,
Â Â Â Â Â Â Â Â Â Â ifone customer can buy one bag? (0.3409)
Â Â Â Â Â Â c. How many bags areexpected to be heavier than 470 g,
Â Â Â Â Â Â Â Â Â if it hasa stock of 1000 bags in the store? (341 bags)
Â Â Â Â Â Â d. What proportion of bagswill be heavier than 1.0 lb.? (0.5)
Â Â Â Â Â Â e. A random sample of 64bags was selected.
Â Â Â Â Â Â Â Â i. mean weightof the sample will be more than 461.8 g.? (0.0505)
Â Â Â Â Â Â Â Â ii. the meanweight will between 443.8 g. to 463.4 g.(0.95)
Â Â Â Â Â Â f. From what weight
Â Â Â Â Â Â Â Â Â Â i.25% bags will be heavier? (480.6 g.)Â Â Â ii. 25% bagswill be lighter? (426.6 g.)

Answer & Explanation Solved by verified expert

4.0 Ratings (818 Votes)

1 pound 453592 grams you make take upto as many decimal places as you like However there will be some very little variations in the answer but that would be okay So Mean 1 lb 453592 grams standard deviation 40 grams Step1 find z value Z X population mean standard deviation Step 2 Compare z value with standard normal distribution z See Answer

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