A couple is starting a family and decides to have four children. Assume that the probability of having a boy or have a girl are equal. a) Find a probability model for the number of girls the couple has. b) Find the probability that the couple has at least one girl. c) What is the probability that the couple has exactly one boy or exactly one girl

Answers

Answer 1

Answer:

0.9375 ; 0.5

Step-by-step explanation:

Given that :

p = 0.5

Probability model for the Number of girls the couple has :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 0) = 4C0 * 0.5^0 * 0.5^4 = 0.0625

P(x = 1) = 4C1 * 0.5^1 * 0.5^3 = 0.25

P(x = 2) = 4C2 * 0.5^2 * 0.5^2 = 0.375

P(x = 3) = 4C3 * 0.5^3 * 0.5^1 = 0.25

P(x = 4) = 4C4 * 0.5^4 * 0.5^0 = 0.0625

Probability of having atleast one girl

Number of trials, n = 4

P(x ≥ 1) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)

Using the relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Using calculator ;

P(x ≥ 1) = 0.9375

Probability of having exactly one boy or exactly one girl

1 boy 3 girls OR 1 girl 3 boys

P(x = 1)

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 1) = 4C1 * 0.5^1 * 0.5^3

P(x = 1) = 4 * 0.5 * 0.125

P(x = 1) = 0.25

The probability of having one girl, 3 boys and vice versa is 0. 25

Hence, Probability of having exactly one boy or exactly one girl

0.25 + 0.25 = 0.5


Related Questions

Martha needs 28 strawberries for every 4 smoothies she makes. plete the table using equivalent ratios.​

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Answer:

strawberries smoothies

28 4

21 3

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

1. 1 divided by 1 = 1

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Answer:

⁴√16³ˣ

Step-by-step explanation:

16³/⁴ ˣ

The above can be expressed as follow:

16³/⁴ ˣ = 16³ˣ/⁴

Recall:

Aᵐ/ⁿ = ⁿ√Aᵐ

Therefore,

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Thus, 16³/⁴ ˣ is equivalent to ⁴√16³ˣ

PLEASE HELP FAST!!! How many solutions does this system have?

Y=3/4x+-5
-3x+4y=-20


Which one is it?
A. One
B. Two
C. An infinite number
D. No solution

Answers

Step-by-step explanation:

y=3/4x+(-5)-4x+4(3/4x+-5)=-20

-4x+3x-20=-20

-x=-20+20

-x=0

x=0

x=0 in y=3/4x-5

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How do you find the slope of a line? How do you know if two lines are parallel? give examples

Answers

Answer:

finding slope: The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.

parallel: We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

hope this helps!

Answer:

The slope of a line is the rise/run of how far away the points are from each other. Say you have the equation y=3/4x-6, the slope is 3/4 so that means you plot your first point at -6 on the y-axis, because that is your y-intercept, and then you will go up 3, right 4. You will continue to do this until you have enough points to make a line. When two lines are parallel, they will always have the same slope. So the lines y=1/2x+4 and y=1/2x-3 are parallel because not only do they have the same slope, they do not intersect at all, which is a requirement for parallel lines. I hope this helps!!

Step-by-step explanation:

Convert 0.3 to a fraction and percent.

Answers

Answer: 3/10 and 30 %

Step-by-step explanation:

3/10 and 30 %

Answer:

3/10   30%

Step-by-step explanation:

i need help graphing this problem
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Answers

Answer:

slope:  7/5

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hope this helps!!:)

Step-by-step explanation:

which slice would be bigger: 1/4 of a 12 inch pizza or 1/8 of an 18 inch pizza​

Answers

Answer: 1/4 of a 12 inch pizza

Step-by-step explanation: hope this helps :)

Answer:

1/4 of a 12 inch pizza is bigger.

Step-by-step explanation:

1/4 of 12 inches equals 3 inches.

1/8 of 18 inches equals 2.25 inches.

This makes 1/4 of a 12 inch pizza bigger.

PLEASE HELP ASAP!!!!

Carly mowed 2 more lawns than Rocco each week for 6 weeks. Carly mowed a total of 18 lawns. How many lawns did Rocco mow each week?

BEST ANSWER WILL BE MARKED BRAINLIEST!!!​

Answers

Answer:

I think she mowed 6 lawns.

Step-by-step explanation:

Answer:

1 lawn each week

Step-by-step explanation:

Rocco lawns mowed each week=x

Carly's lawns mowed each week=x+2

Equation to show how much Carly lawned for 6 weeks

18 is the total amount of lawns

6 is the number of weeks

6(x+2)=18

Solve for x

6x+12=18

Subtract 12 on both sides

6x=6

x=1

x is the amount that Rocco lawned

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Answers

Yeah call 911 that would be the better option

Suppose f(x) = x2 + 1. Find the graph of
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Answers

Answer:

Step-by-step explanation:

2(4x) + 1 = 8x + 1

graph

I'LL MARK UR ANSWER BRAINLIST!!

2. How can we use the distributive property to solve 41* 45? (Please show work, and do not just provide a final answer).​

Answers

Answer: =1845

Step-by-step explanation: hope this help

what fraction is shown on the number line?

Answers

Answer:

3/4 or c

Step-by-step explanation:

Answer:

3/4 or c

Step-by-step explanation:

A backpack normally costs 25 dollars but it is on sale for 21 dollars. What percentage is the discount?

Answers

The packpack is 84% off.

A bag contains 30 marbles. There are 7 blue, 4 green,
7 red, 6 yellow, and 6 black marbles. Without looking,
Tarek reaches into the bag and draws one marble.
What is the probability he draws a black marble?

Answers

Answer: 1/5

Step-by-step explanation: it it trust me

PLEASE HELP!!! EMERGENCY How many y-values are there for each x-value in the function represented by the graph?
a. 0
b. 1
c. 2
d. indefinitely many
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Answers

Answer:

it's 1!!

Step-by-step explanation:

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Answers

Answer:

easy (4)

Step-by-step explanation:

A community orchestra is losing money. They have always sold tickets for
$12, but they decide to increase the price by $3. For their next concert, they
sell 200 tickets at the increased price.
Select the expression representing the amount of money earned from ticket
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A. 200(12+3)
B. 200(12) + 3
C. 200(12-3)
D. 200(12) - 3
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Answers

Answer:

Step-by-step explanation:

I think it's a or b

Answer:

a

Step-by-step explanation:

Plsssss help I will mark you brainliest

Answers

Answer: 6y=13.5

Step-by-step explanation:

just multiply 6 by 2.25

Answer:

y = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Given

6y = 2 [tex]\frac{1}{4}[/tex] ← change into an improper fraction

6y = [tex]\frac{9}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

24y = 9 ( divide both sides by 24 )

y = [tex]\frac{9}{24}[/tex] = [tex]\frac{3}{8}[/tex]

Find the perimeter of AABC.
B
5x-19
2x +11
А
16
10
0 31
0 47
78

Answers

Answer:

78

Step-by-step explanation:

Since the base angles are congruent, then the triangle is isosceles and

AB = BC , that is

5x - 19 = 2x + 11 ( subtract 2x from both sides )

3x - 19 = 11 ( add 19 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

AB = BC = 2x + 11 = 2(10) + 11 = 20 + 11 = 31

Thus

perimeter = 31 + 31 + 16 = 78

Answer: 78

Step-by-step explanation:

19.5 is what percent of 150?

Answers

Answer:

13

Step-by-step explanation:

Please mark brainlliest.

Answer:

13%

Step-by-step explanation:

19.5/150=0.13 = 13%

Abigail orders a book and
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Answers

Answer:

$17.65

Step-by-step explanation:

First you have to subtract $7.65 from the total cost, $42.95.

Now, you have $35.30. Since she bought 2 DVD's, you have to divid $35.30 by 2.

Your answer is now $17.65, meaning that each DVD cost $17.65.

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Answers

the answer would be x = 1

Answer:

x = 1

Step-by-step explanation:

1/2(8x-6) = -1/3(9x-12)   distribute

4x-3 = -3x+4                 add 3x to both sides

7x-3 = 4                        add 3 to both sides

7x = 7                            divide by 7 on both sides

x = 1

How can we classify the following shapes ? Please choose answers that all apply !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

A and C

Step-by-step explanation:

The answers are A and C :)

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Answers

Answer:

2

Step-by-step explanation:

Jace ran 22 miles. leah ran for y minutes. Jace ran twice as long A Leah. How long did leah ran?

A 24 minutes
B 20 minutes
C II minutes
D 44 minutes​

Answers

Answer:

C. 11min

Step-by-step explanation:

If he ran twice as much as Leah u divide 22 by 2 and get 11 I am sorry if this is wrong.

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Answers

1. 9:15
2. 2:00
3. 11:45
4. 7:45
5. 4:15
6. 6:30

Write the slope-intercept equation of a line with slope 4 and y-intercept -11. *

Answers

Answer: y = 4x - 11

Step-by-step explanation:

m = 4b = -11

Which comparison is true?
0 2.6 < 2.07
05.08 < 5.21
O 5.08 > 5.40
O 2.6 > 2.65

Answers

Answer:

The correct answer is C

Step-by-step explanation:

I took the test and got a 100

It’s C. As you see, 2.6 (2.06) is lower than 2.07, so that isn’t right, as for the rest but C. I hope this helps for later on as well!

3(2x + 4) = 72

What’s x

Answers

Answer: x = 6

Step-by-step explanation:

(3)(2x) = 6x

(3)(4) = 12

12-12 cancels out

72-12 = 60

6x/6 cancels the 6 out

60/6 = 6

x = 6

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