A family has four children. If the genders of these children are listed in the order they are born, there are sixteen possible outcomes: , BBBG, BBGB, BGBB, GBBB, BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, BGGG, GBGG, GGBG, GGGB, and . Assume these outcomes are equally likely. Let represent the number of children that are girls. Find the probability distribution of . Part: 0 / 20 of 2 Parts Complete Part 1 of 2 Your Answer is incorrect (a) Find the number of possible values for the random variable . There are possible values for the random variable .

X : ___ 0 1 2 3 4

P(x): _ 1/16 __ 1/4 3/8 1/4 1/16

Step-by-step explanation:

Given the listed possible occurrence of boys and girls :

B = boys ; G = girls

, BBBG, BBGB, BGBB, GBBB, BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, BGGG, GBGG, GGBG, GGGB, and

Let x = distribution of girls

P = required outcome / Total possible outcomes

For :

x = 0 ;() = 1

P(x) = 1/16

x = 1 ; (BBBG, BBGB, BGBB, GBBB) = 4

P(x) = 4 / 16 = 1/4

P(x = 2) ; (BGBG, GBGB, BGGB, GBBG, BBGG, GGBB) = 6

P(x) = 6 / 16 = 3/8

P(x = 3) ; (BGGG, GBGG, GGBG, GGGB) = 4

P(x) = 4 / 16 = 1/4

P(x = 4) ; () = 1

P(x) = 1 / 16

X : ___ 0 1 2 3 4

P(x): _ 1/16 __ 1/4 3/8 1/4 1/16

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.