Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8. If they have three children, what is the probability that exactly two of their three children will have that trait? Round your answer to the nearest thousandth

Answers

Answer 1

Answer:

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.

This means that [tex]p = 0.8[/tex]

Three children:

This means that [tex]n = 3[/tex]

What is the probability that exactly two of their three children will have that trait?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]

0.384 = 38.4% probability that exactly two of their three children will have that trait.


Related Questions

What is the solution 5x-15=-25

Answers

Answer:

x= -2

Step-by-step explanation:

MARK AS BRAINLIEST!!

Answer: -2

Step-by-step explanation: -2 times 5 is -10. -10-15=-25

Find the area of the figure
area: units2

Answers

Answer:

24 units²

Step-by-step explanation:

Top triangle: 1/2x2x4=4

Main rectangle: 2x4=8

Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12

4+8+12=24

can someone help me find x

Answers

Answer:

x = 5

Step-by-step explanation:

Since this shape is a quadrilateral, the sum of the interior angles is 360.

Equation:

81 + 20x - 16 + 15x + 30 + 16x + 10 = 360

51x + 105 = 360

51x = 360 - 105

51x = 255

x = 5

It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?

Answers

Answer:

22

Step-by-step explanation:

5.50/0.25 = 22

Answer:

22

Step-by-step explanation:

5.50 cups of sugar divided by the .25 cups needed for each batch gives you 22 :)

A square has a perimeter of 88 yd. What is the length of each side

Answers

Answer:

22 yards

Step-by-step explanation:

p = 4s

88 = 4s

22 = s

solve this inequality 2(4x+1)<3(2x-3)

Answers

Answer:

x<-11/2

Step-by-step explanation:

but don't trust me too much bestie

A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the

highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.

Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.

Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour

Answers

Answer:

The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:

A. 0.5 hours

C. $1.25 per car

D. $3.05 per gallon

F. 35 miles per gallon

H. 54 miles per hour

Step-by-step explanation:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Distance travelled per gallon in the city = 27 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Joey's average speed using the city street route = 36 miles per hour

Number of hours to get to work using the city street route = 1 hour

Relevant data for highway driving total costs:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60

Answer:

A, B, D, F, H

Step-by-step explanation:

Que sucede cuando dividimos un numero entre si mismo

Answers

Answer:

no pasa nada

Step-by-step explanation:

espero que eso te ayude:)

Answer:

Cualquier número dividido entre si mismo da como resultado 1

100 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

15

Step-by-step explanation:

To find the answer you multiply the length by the width.

5×3=15

Name the three labeled segments that are parallel to EF

Answers

Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

What is 17% of 13.00

Answers

Answer:

The answer is 2.21

Step-by-step explanation:

Answer:

2.21

Step-by-step explanation:

13(.17)

The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviation of $15. The engineering students think that the average cost of their books is higher than the average for all students. To test the bookstore’s claim against their alternative, the engineering students collect a random sample of size 45, and calculate x = $97.34.

Grade: 5 4 3 2 1
Communication strong ←− − − − − − −→ weak ×2

Required:
Conduct a hypothesis test with α = 0.05 to see if the students’ claim is supported. Use the classical approach.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file for the solution.

 

Find the measure of angle QZT.

Answers

Answer:    112

========================================================

Explanation:

Minor arc QV is 80 degrees because it adds to minor arc VU = 100 to get 80+100 = 180. Note how angle QPU = 180, since it's a straight line and QU is a diameter of the circle.

Add up the minor arcs

TUUVVQ

to get:  44+100+80 = 224

This means arc TUQ is 224 degrees. Inscribed angle QZT subtends arc TUQ. Use the inscribed angle theorem to say that the inscribed angle is half of the arc it cuts off.

angle QZT = (arc TUQ)/2

angle QZT = 224/2

angle QZT = 112 degrees

There were 3 chihuahuas at the dog park last Saturday, along with 9 other dogs. Considering this data, how many of the next 20 dogs to arrive at the park next Saturday should you expect to be chihuahuas?

Answers

Answer:

5

Step-by-step explanation:

Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.

Assuming this ratio is consistent, (1/4)*20 is 5.

In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.

Hope it helped, and have a beautiful day/night! <3

Find the surface area of the rectangular prism

Answers

I believe it would be 242 cm^2

Please help me with this question!:))

Answers

Answer:

6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the two lines mean absolute value.  The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6

if that makes sense :)

QUESTIONS
A salt is packed in jars containing 32 grams. How many jars can be filled from 15kg of the salt? [​

Answers

Answer:

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Step-by-step explanation:

Given:

Amount of salt containing in jar = 32 gram

Total amount of salt in jar = 15 kg

Find:

Number of  jars can be filled from 15kg of the salt

Computation:

Total amount of salt in jar = 15 kg

Total amount of salt in jar (in grams) = 15 x 1000 g

Total amount of salt in jar (in grams) = 15,000 g

Number of  jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar

Number of  jars can be filled from 15kg of the salt = 15,000 / 32

Number of  jars can be filled from 15kg of the salt = 468.75

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

plz help 5th grade work

Answers

Answer:

I don't see where the question is...

Step-by-step explanation:

Rehan wants to add a fence along his triangular garden whose sides are 14m,16m and 20m. What will be the length of fencing material? Give your answer in cm.

Answers

Answer:

5000cm

Step-by-step explanation:

14 + 16 + 20 = 50m

50m x 100cm/m = 5000cm

Please help me I would appreciate it a lot

Answers

Answer:

Juan can consume 2.22 calories per day

Step-by-step explanation:

[tex]68.820 \div 31 \: day \: month \: \\ \\ = 2.22[/tex]

Need help with using the graph to find the numbers

Assignment is about evaluating composition of functions from graphs anything helps

Answers

Answer:

f(2) = -3

g(-3) = -5

Step-by-step explanation:

----------------------

football team scores 42 points in 3
games. Find the unit rate

Answers

Answer:

14

Step-by-step explanation: divide..

Answer:

14 points per game

Step-by-step explanation:

42/3 = 14

Which group of numbers could be the measures of the sides of a right
triangle?

Answers

Answer:

it's B. i individually solved all of them using the pythagorean theorem.

Step-by-step explanation:

"The Pythagorean theorem states that, in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2"

sqrt61=6+5

square everything on both sides and ur left with

61=36+25

61=50+11

61=61

boom

Simplify (5m - 4)2 using the square of a binomial formula.

A) 5m2 - 20m - 4
B) 25m2 – 40m + 16
C) 25m2 + 40m + 16
D) 5m2 – 40m + 4

Answers

Answer:

[tex]25m^{2} -40m+16[/tex]

Step-by-step explanation:

Rewrite (5m−4)^2 as (5m−4)(5m−4).

Expand (5m−4)(5m−4) using the FOIL Method.

[tex]25m^{2} -40m+16[/tex]

PLZ HELP ME , PLZ HELP AND PLEASE, PLZ HELP JUST PLZ HELP THANK YOU FOR YOUR TIME

Use the box plot to explain what you know about the spread of this data set.

Answers

Answer:

Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!

bit.[tex]^{}[/tex]

Answer:

The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"

The median of the data is 50 (middle line inside the box)

The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.

The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.

The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.

Let me know if you have questions about this answer. I'm happy to help.

The image of the point (-5, 1) under a translation is (-6,3). Find the
coordinates of the image of the point (2, -3) under the same translation.

Answers

Answer:

The coordinates are (1,-1).

Step-by-step explanation:

The image of the point (-5, 1) under a translation is (-6,3).

Point x was -5 and now is -6, and y was 1 and now is 3. Thus, the transaction rule is:

(x,y) -> (x - 1, y + 2)

Find the coordinates of the image of the point (2, -3) under the same translation.

(2,-3) -> (2-1, -3 + 2) = (1,-1)

The coordinates are (1,-1).

Find the equation of a circle that is centered at the origin and is tangent to the circle (x−6)^2+(y−8)^2=25

Answers

 

Center:  ( 6 , 8 )

Radius: 5

Answer:

[tex] x^2 +y^2 = 25 [/tex]

Step-by-step explanation:

Center of the required circle = (0, 0)

Center of the given circle = (6, 8)

Radius of the given circle = 5 units

Distance between the centers of both the circles

[tex] =\sqrt{(6-0)^2 +(8-0)^2} [/tex]

[tex] =\sqrt{(6)^2 +(8)^2} [/tex]

[tex] =\sqrt{36 +64} [/tex]

[tex] =\sqrt{100} [/tex]

[tex] =10\: units [/tex]

Since, required circle is tangent to the given circle with radius 5 units.

Therefore,

Radius of required circle = 10 - 5 = 5 units

Now, Equation of required circle can be obtained as:

[tex] (x - 0)^2 +(y - 0)^2 = 5^2 [/tex]

[tex] (x)^2 +(y)^2 = 25 [/tex]

[tex] x^2 +y^2 = 25 [/tex]

A bag contains 2 red marbles and 3 blue marbles. What is the probability of drawing a red marble, keeping it, and drawing another red marble?

Answers

Answer:

Step-by-step explanation:

the first marble has a probability of  2/5

the second marble has a probability of 1/4

P(r=2) = 2/5 * 1/4 = 2/20 = 1/10

Answer:

2/5, 1/4

Step-by-step explanation:

The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.

If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.

Question 3 (4 marks)
A certain retail outlet found that 40% of all customers walking into their store will buy at least one item on
that occasion. Customers make a purchase independently from one another. Calculate the following
probabilities correct to 4 decimal places.
3.1. (2 marks) What is the probability that one or two out of the next four customers will make a purchase?
3.2. (2 marks) What is the probability that at least one out of the next four customers do not make a purchase?​

Answers

Answer:

3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

40% of all customers walking into their store will buy at least one item on that occasion.

This means that [tex]p = 0.4[/tex]

4 customers:

This means that [tex]n = 4[/tex]

3.1 What is the probability that one or two out of the next four customers will make a purchase?

This is:

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]

[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]

So

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]

0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2. What is the probability that at least one out of the next four customers do not make a purchase?​

This is:

[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]

[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]

0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

la
You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?

Answers

3 and 1/4 is the answer!!
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