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The extract of a plant native to Taiwan has been tested as a possible treatment

ID: 3128673 • Letter: T

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 62 and standard deviation of 9.9 grams per mililiter.

(a) What is the probability that the amount of collagen is greater than 61 grams per mililiter?

answer:

(b) What is the probability that the amount of collagen is less than 76 grams per mililiter?

answer:

(c) What percentage of compounds formed from the extract of this plant fall within 3 standard deviations of the mean

Explanation / Answer

Given X~Normal(mean=72, s=5) a. P(X>71)=P((X-mean)/s >(71-72)/5) =P(Z>-0.2) = 0.5793 (check standard normal table) b. P(X
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