(1 point) The extract of a plant native to Taiwan has been tested as a possible
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Question
(1 point) 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 6.5 grams per mililiter (a) What is the probability that the amount of collagen is greater than 64 grams per mililiter? answer: (b) What is the probability that the amount of collagen is less than 79 grams per mililiter? answer: (c) What percentage of compounds formed from the extract of this plant fall within 3 standard deviations of the mean? answer:Explanation / Answer
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 6.5 grams per mililiter.
(a) What is the probability that the amount of collagen is greater than 64 grams per mililiter?
Ans: Given mean=72
standard deviation=6.5
z = (64 - 72)/6.5
= -1.2307
P(x > 64) = P(z > -1.2307)
= 1-NORMSDIST(-1.2307)
=0.8907
the probability that the amount of collagen is greater than 64 grams per mililiter is 0.8907
(b) What is the probability that the amount of collagen is less than 79 grams per mililiter?
Ans: Given mean=72
standard deviation=6.5
z = (79 - 72)/6.5
= 1.0769
P(x <79) = P(z <1.0769)
= NORMSDIST(1.0769)
=0.8592
the probability that the amount of collagen is less than 79 grams per mililiter is 0.8592
(c) What percentage of compounds formed from the extract of this plant fall within 3 standard deviation of the mean?
Ans: 99.9%(c)
What percentage of compounds formed from the extract of this plant fall within 3 standard deviation of the mean?
Ans: fall within 3 standard deviation of the mean is 99.9%
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