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Standard VIII

Mathematics

Frequency Table of Grouped Data (Exclusive Form)

Q.25. There a...

Question

Q.25. There are 200 individuals with a skin disorder, 120 has been exposed to the chemical A, 50 to chemical B and 30 to both chemical A and B. Find the number of individuals exposed to
i) Chemical A but not to chemical B
ii) Chemical A or chemical B

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Solution

Dear student,
Here is the solution of your asked query:
120 had been exposed to chemical A.

so, n(A) = 120

50 had been exposed to chemical B.

n(B) = 50.

n(A∩B) = 30.

therefore the number of individuals exposed to chemical A but not B

= n(A) - n(A∩B)

= 120 - 30

= 90

the number of individuals exposed to chemical A or B

= n(A∪B)

= n(A) + n(B) - n(A∩B)

= 120+50 - 30

= 140

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Q.25. There are 200 individuals with a skin disorder, 120 has been exposed to the chemical A, 50 to chemical B and 30 to both chemical A and B. Find the number of individuals exposed to i) Chemical A but not to chemical B ii) Chemical A or chemical B

Q.25. There are 200 individuals with a skin disorder, 120 has been exposed to the chemical A, 50 to chemical B and 30 to both chemical A and B. Find the number of individuals exposed to
i) Chemical A but not to chemical B
ii) Chemical A or chemical B