1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kow [346]
3 years ago
12

25% of American households have only dogs (one or more dogs) 15% of American households have only cats (one or more cats) 10% of

American households have dogs and cats (one or more of each) 50% of American households do not have any dogs or cats. A researcher randomly samples 10 American households. Find the probability that exactly 3 have only dogs, 2 has only cats, 1 has cats and dogs, and 4 has neither cats or dogs. Round your answer to 4 decimal places.
Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

a) P=0.2503

b) P=0.2759

c) P=0.3874

d) P=0.2051

Step-by-step explanation:

We have this information:

25% of American households have only dogs (one or more dogs)

15% of American households have only cats (one or more cats)

10% of American households have dogs and cats (one or more of each)

50% of American households do not have any dogs or cats.

The sample is n=10

a) Probability that exactly 3 have only dogs (p=0.25)

P(x=3)=\binom{10}{3}0.25^30.75^7=120*0.01563*0.13348=0.25028

b) Probability that exactly 2 has only cats (p=0.15)

P(x=2)=\binom{10}{2}0.15^20.85^8=45*0.0225*0.27249=0.2759

c) Probability that exactly 1 has cats and dogs (p=0.1)

P(x=1)=\binom{10}{1}0.10^10.90^0=10*0.1*0.38742=0.38742

d) Probability that exactly 4 has neither cats or dogs (p=0.5)

P(x=4)=\binom{10}{4}0.50^40.50^6=210*0.0625*0.01563=0.20508

You might be interested in
Jeremy drove 812 miles on 24.3 gallons of gas. what was his gas mileage, rounded to the nearest mpg?
yuradex [85]
The answer is D because you have to divide 812 by 25.3
5 0
3 years ago
Read 2 more answers
Please answer the following;
34kurt

The Surface area of the cube will be 433.5 square feet.  Then the correct option is C.

<h3>What is a surface area of a cube?</h3>

Suppose that: The side length of the considered cube is L units. Then, we get:

Surface area of that cube = 6L² square units.

Bella is wrapping a cube shape box that measures 8.5 inches along each side.

The edge length of the cube is 8.5 meters.

Then the Surface area of the cube will be

Surface area = 6 x 8.5²

Surface area = 6 x 72.25

Surface area = 433.5 square feet

The Surface area of the cube will be 433.5 square feet.

Then the correct option is C.

More about the surface area of the cube link is given below.

brainly.com/question/13789496

#SPJ1

6 0
2 years ago
[IMAGE ATTACHED]<br> I don’t understand this please help.
rusak2 [61]

Answer:

  • z+5+101=180°( being straight angle)
  • z=180°-106°
  • z=74°

<h3>hope it helps.</h3><h3>stay safe healthy and happy</h3><h3 />
5 0
3 years ago
HELP<br> Find the value of two numbers if their sum is 5 and their difference is 30
vodomira [7]

Answer:

The 2 numbers are -12.5 and 17.5.

Step-by-step explanation:

Let 1 number be x then  x - y  = 30 where the other number is y.

y = x - 30 so the sum is:

x - 30 + x = 5

2x = 35

x = 17.5

and y = 17.5 - 30 = -12.5.

8 0
3 years ago
Read 2 more answers
How to solve 2/2/7 2/1/7?
Gala2k [10]
Ok so the slashes are division so you would divide
6 0
3 years ago
Other questions:
  • Plz help me I need to turn it in on Monday
    13·1 answer
  • Which expression is equivalent to 2.8k - 8.4
    15·1 answer
  • Jermaine has a mailing cylinder for posters that measures 18 inches long and 6 inches in diameter. What volume can it hold? Use
    15·1 answer
  • 815 gal/h = how many qt /s
    13·1 answer
  • Anne, Valerie, and Layla are sisters. Anne is 4 years older than Valerie, and Layla is 5 years younger than Valerie. Use v for V
    15·1 answer
  • 2/12= blank 48 gffnvbnvbnvbfffnvbnbvffffffffbvcnffffffffffnbvnvbnbvnbvffffffffffffffffff
    11·1 answer
  • Help me please I don't understand
    12·1 answer
  • 2/6 over 2/5 is witch one &gt;&lt; or =
    11·2 answers
  • Pls help this is due in 15 minutes I’ll brainlest for the right answer
    10·2 answers
  • A passenger train traveled 120 miles in the same amount of time it took a freight train to travel 70 miles. The rate of the frei
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!