La Tech Stat Ch3: Problem 9 (1 pont) The extract ota plant natve to Tawan has be

Question

La Tech Stat Ch3: Problem 9 (1 pont) The extract ota plant natve to Tawan has been lested as a possible treatment Leukemia one arthe chemical compounds produced thom the plant was analyzed for a particular collagen The collagen amount was tound to be normaly dastrouted with and a 5grams per matter (a) What is he protatilty that me amount of couagenis greater than 60grams per maltern (b) What is ne probatility that the amount otcollagen is less than 70 grams per What percentage or compounds formed from the extract or this platt fat wmn la of P? Note: You can eam partlaloredr on mis prooom You have attempted this problem mes You have unlimited attempts emaining

Explanation / Answer

from normal distribution zscore =(X-mean)/std deviaiton

a)P(X>60)=1-P(X<60)=1-P(Z<(60-61)/5)=1-P(Z<-0.2)=1-0.4207=0.5793

b)P(X<70)=P(Z<(70-61)/5)=P(Z<1.8)=0.9641

c)% of the components =P(-3<Z<3)=0.9973~99.73%

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