Question

In: Statistics and Probability

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

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 75 and standard deviation of 9.6 grams per mililiter.

(a)  What is the probability that the amount of collagen is greater than 62 grams per mililiter?

answer:

(b)  What is the probability that the amount of collagen is less than 75 grams per mililiter?

answer:

(c)  What percentage of compounds formed from the extract of this plant fall within 1 standard deviations of the mean?

answer:  %

Solutions

Expert Solution

Answer:

Given that:

The collagen amount was found to be normally distributed with a mean of 75 and standard deviation of 9.6 grams per mililiter.

mean=75

standard deviation =9.6

(a) What is the probability that the amount of collagen is greater than 62 grams per mililiter?

The probability that the amount of collagen is greater than 62 grams per ml

b) What is the probability that the amount of collagen is less than 75 grams per mililiter?

The probability that the amount of collagen is less than 75 grams per ml

(c) What percentage of compounds formed from the extract of this plant fall within 1 standard deviations of the mean?


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