(1 point) The extract of a plant native to Taiwan has been tested as a possible

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 trom the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 64 and standard deviation of 6.6 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 3 standard deviations of the mean? answer

Explanation / Answer

Result:

a).

z value for 62, z = (62-64)/6.6 = -0.30

p( x >62) = P( z > -0.30)

=0.6179

b).

z value for 75, z = (75-64)/6.6 = 1.67

p( x <75) = P( z < 1.67)

=0.9525

c).

percentage within 3 standard deviation = 99.7%

( for 3 sd limit for normal distributions).

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