A geneticist is studying the correlation between disease D and mutations on gene A or mutations on gene B. She collects data from 1,000 mice and records it in the above Venn diagram. What percentage of mice who do not have the disease do have the gene A mutation? A. 1.2% B. 2.1% C. 3.8% D. 6.8%

Question

Mathematics

Jaidyn Carney

1 January, 16:56

A geneticist is studying the correlation between disease D and mutations on gene A or mutations on gene B. She collects data from 1,000 mice and records it in the above Venn diagram. What percentage of mice who do not have the disease do have the gene A mutation? A. 1.2% B. 2.1% C. 3.8% D. 6.8%

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Answers (1)

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Yareli Fitzgerald · Answer 1

Based on the Venn Diagram, we have the following facts:

Total no. of mice is 1000

Work out for the total number of mice without disease:

We have:

736+9+7+8 = 760

Find out the total number of mice with disease:

We have:

1+24+194+21 = 240

We can then deduce that the number of mice who do not have the disease in gene A mutation is: 9+7 = 16

To find its percentage, divide 16 by 760. This makes up 0.02105. Multiply the result with 100 so we can find out its percentage.

0.02105 x 100 is 2.105%

Thus, the answer should be letter B. 2.1%