Question

there are 200 individuals with a skin disorder 120 has been exposed to the chemical A 52 chemical B and 32 both chemical A and B find the number of individual exposed to

Answer 1

Answer:

Step-by-step explanation:

Hi,

Given total number of individuals = 200

Let A be the event denoting disorder due to exposure of chemical A

Given n(A) = 120

Let B be the event denoting disorder due to exposure of chemical B

Given n(B) = 52

Also given that , 32 have been exposed to both ,

n(A ∩ B ) = 32

To find individuals who have been exposed to disorder

We know n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

So n(A ∪ B) =  120 + 52 - 32

= 140

Hence 140 out of 200 individual have been exposed to skin orders.

Number of individuals who have been exposed to chemical A but

not chemical B

= n( A - B) = n(A) - n(A  ∩ B)

= 120 - 32

= 88

Number of individuals who have been exposed to chemical B but

not chemical A

= n( B - A) = n(B) - n(A  ∩ B)

= 120 - 52

= 68

Hope, it helps !

Answer 2

140 Individuals

Let A be the set of individuals that are exposed to chemical A:

Let B be the set of individuals that are exposed to chemical B.

Let U be the set of the total number of individuals that are there.

Given:

n(A) = 120 individuals

n(B) = 52 individuals

n(U) = 200 individuals

n(A ⋂ B) = 32 individuals

To Find:

The number of individuals that have been exposed with the skin disorder.

Calculating:

The formula that we use to find the union of sets:

n(A U B) = n(A) + n(B) - n(A ⋂ B)

Substituting all the values that are known to us in this formula we get:

n(A U B) = 120 + 52 - 32

n(A U B) = 120 + 20

n(A U B) = 140

Therefore, the total number of individuals that are exposed to the skin disorder is 140 individuals out of 200 individuals.