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Pavel [41]
3 years ago
6

A family has two children. If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the ch

ildren is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair. Let X represent the number of times G occurs. Which of the following is the probability distribution, PX(x)?
Mathematics
2 answers:
olga_2 [115]3 years ago
8 0
To determine the probability, the formula is by number of successful outcomes divided by number of possible outcomes. The number of possible outcomes in this problem is 4.

So to compute the probability distribution:

The number of times that 0 G appeared is 0.25 which is represented by BB which is 1/4.
The number of times that 1 G appeared is .5 which is represented by BG and GB which is 2/4.
The number of times that 2 G appeared is .25 which is represented by GG which is 1/4.

The probability distribution will look like this:
X       Px(x)
0         .25
1          .5
2         .25
Anon25 [30]3 years ago
4 0

Answer:

it is A The probability distribution will look like this:

X       Px(x)

0         .25

1          .5

2         .25

Step-by-step explanation:

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3 years ago
Solve the simultaneous equations 5x+4y = 1 and 3x - 6 y = 2.
hjlf

x=31​,y=−61​

Put the equations in standard form and then use matrices to solve the system of equations.

5x+4y=1,3x−6y=2

Write the equations in matrix form.

(53​4−6​)(xy​)=(12​)

Left multiply the equation by the inverse matrix of (53​4−6​).

inverse((53​4−6​))(53​4−6​)(xy​)=inverse((53​4−6​))(12​)

The product of a matrix and its inverse is the identity matrix.

(10​01​)(xy​)=inverse((53​4−6​))(12​)

Multiply the matrices on the left hand side of the equal sign.

(xy​)=inverse((53​4−6​))(12​)

For the 2×2 matrix (ac​bd​), the inverse matrix is (ad−bcd​ad−bc−c​​ad−bc−b​ad−bca​​), so the matrix equation can be rewritten as a matrix multiplication problem.

(xy​)=(5(−6)−4×3−6​−5(−6)−4×33​​−5(−6)−4×34​5(−6)−4×35​​)(12​)

Do the arithmetic.

(xy​)=(71​141​​212​−425​​)(12​)

Multiply the matrices.

(xy​)=(71​+212​×2141​−425​×2​)

Do the arithmetic.

(xy​)=(31​−61​​)

Extract the matrix elements x and y.

x=31​,y=−61​

5 0
4 years ago
Read 2 more answers
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