In a particular region, for families with a combined income of $57,000 or more, 12% have no children, 37% have one child, 43% have two children, and 8% have three children. Use this information to construct the probability distribution for X, where x represents the number of children per family for this income group. Arrange x in increasing order and write the probabilities P(x) as decimals.

P(X = 0) = 0.12.

P(X = 1) = 0.37.

P(X = 2) = 0.43.

P(X = 3) = 0.08

Step-by-step explanation:

12% have no children

This means that P(X = 0) = 0.12.

37% have one child

This means that P(X = 1) = 0.37.

43% have two children

This means that P(X = 2) = 0.43.

8% have three children.

This means that P(X = 3) = 0.08

(2,9)

i think thats the answer i checked it on google

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: