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Toro Manufacturing company makes lawn mowers for use in residential and commercial areas. Toro supplies these lawn mowers to companies such as Walmart and Kent, who in turn sells these lawn mowers to retailers. Toro signed a contract to supply 40,000 lawn mowers. Toro wants to ensure that at least 97% of the lawn mowers be free of defects. Toro managers test 200 randomly selected lawn mowers, and found 190 defective free.
-What is the sampling distribution of the sample proportion? Assume the population proportion is 97% defective free.
-The managers want to know what the probability is to have 190 or less defect-free lawn mowers if the supply go 40,000 lawn mowers is 97% defective free? What is this probability?
-Find the probability that the sample proportion would be within +-2% around the population proportion. Assume the population proportion is 97% defective free.