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Mathematics, 18.09.2021 03:20 aly2008

Biological measurements on fish are sometimes used as indicators of environmental pollution. Astudy of the use of blood glucose levels in fish as an indicator of the insecticide dieldrin suggests glucoselevels in the small freshwater fish johnny darter (Etheostoma nigrum) in White Clay Creek, Chester County, Pennsylvania follow a normal distribution with mean 375 mg/L and standard deviation 153 mg/L [14].LetXdenote the blood glucose level (mg/L) in a randomly selected johnny darter. a) FindP(X >350), the probability that the glucose level will be higher than 350.b) FindP(X <200), the probability that the glucose level will be 200 or lower. c) FindP(200< X <350), the probability that the glucose level will be between 200 and 350.d) Find the glucose below which 97.5% of glucose levels fall (that is, the 97.5th percentile of the glucoselevel distribution).e) Find the two glucose levels between which the middle 95% of glucose levels fall (that is, the 2.5thand 97.5th percentiles of the glucose level distribution).

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