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Mathematics, 25.01.2020 06:31 Briannadavis03

Agrinding wheel manufacturer designed a new grinding wheel. repeated tests were conducted on wheels of approximately the same weight. the tests showed that the new wheel enables free-cutting steels to be cut on an average of 225 surface feet per minute (sfm) with a standard deviation of 16.5 sfm and that the cutting rates are approximately normally distributed. a) what is the 75th percentile of the distribution of cutting got 236.137 sfmb) what is the probability that at least 3 wheels out of 10 randomly selected wheels in the study will have a cutting rate that is greater than the cutting rate calculated in part (a)? c) what is the probability that a randomly selected sample of 5 wheels in the study will have a mean cutting rate of at least 225 sfm?

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