Question

The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 72 and standard deviation of 5.3 grams per mililiter.

(a)  What is the probability that the amount of collagen is greater than 68 grams per mililiter?

answer:

(b)  What is the probability that the amount of collagen is less than 74 grams per mililiter?

answer:

(c)  What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean?

answer:  %

Answer 1

Hello Sir/ Mam

Given that:

Mean =	72.00
Standard Deviation =	5.30

(a)

(b)

(c) 95.45%

Using excel function, "=(NORM.S.DIST(2,TRUE)-0.5)*2", we get answer = 95.45%

I hope this solves your doubt.

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