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
Svetradugi [14.3K]
1 year ago
11

The probability that a randomly chosen person has a dog is 0.34. The probability that a randomly chosen person will have a dog a

nd be walking in the park is 0.03. The probability that a randomly chosen person is walking in the park or has a dog is 0.40. What is the probability that a randomly chosen person is not walking in the park?
Round to the nearest hundredths
Mathematics
1 answer:
Elina [12.6K]1 year ago
7 0

Taking into definition of probability, the probability that a randomly chosen person is not walking in the park is 0.91.

<h3>Definition of Probabitity</h3>

Probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

<h3>Union of events</h3>

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

<h3>Complementary event</h3>

A complementary event is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

The probability of occurrence of the complementary event A' will be:

P(A´)= 1- P(A)

<h3>Events and probability in this case</h3>

In first place, let's define the following events:

  • D: a person has a dog.
  • W: a person is walking in the park.

Then you know:

  • P(D)= 0.34
  • P(D and W)= P(D∩W)= 0.03 [The intersection of events, A ∩ B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A ∩ B is verified when A and B occur simultaneously.]
  • P(D or W)= P(D∪W)= 0.40

In this case, considering the definition of union of eventes, the probability that a randomly chosen person is walking in the park is calculated as:

P(D∪W)= P(D) + P(W) -P(D∩W)

0.40= 0.34 + P(W) -0.03

Solving:

0.40= 0.31 + P(W)

0.40 - 0.31= P(W)

<u><em>0.09= P(W)</em></u>

Then, the probability that a randomly chosen person is walking in the park is 0.09.

Considering the definition of the complementary event and its probability, the probability that a randomly chosen person is NOT walking in the park is calculated as:

P [W']= 1- P(W)

Replacing and solving:

P [W']= 1 - 0.09

P [W']= 0.91

Finally, the probability that a randomly chosen person is not walking in the park is 0.91.

Learn more about probability:

brainly.com/question/25839839

brainly.com/question/26038361

#SPJ1

You might be interested in
What role does cellular respiration play in the water cycle
Oksi-84 [34.3K]

<em>Cellular Respiration, </em><em>would be the best answer.</em>

Thanks,

<em>Deku ❤</em>

5 0
3 years ago
Two factories I and II produce phones for brand ABC. Factory I produces 60% of all ABC phones, and factory II produces 40%. 10%
denpristay [2]

Answer:

0.3721 or 37.21%

Step-by-step explanation:

P(I) = 0.60; P(II) = 0.40;

P(not defective I) = 0.90; P(not defective II) = 0.80

The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

P(II|not) = \frac{P(II)*P(not_{II})}{P(II)*P(not_{II})+P(I)*P(not_{I})}\\P(II|not) = \frac{0.40*0.80}{0.40*0.80+0.60*0.90}\\ P(II|not) =0.3721 = 37.21\%

The probability is 0.3721 or 37.21%.

4 0
3 years ago
Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle
vodomira [7]

Answer:

0.6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A) Goats that weigh exactly 50 or 60 pounds fall into two classes.
Jobisdone [24]
<span>A) Goats that weigh exactly 50 or 60 pounds fall into two classes. would be the right answer</span>
3 0
3 years ago
Solve the equation.
Levart [38]

Answer:

x=34

Step-by-step explanation:

6 - ( x-7) ^ 1/3 = 3

Subtract 6 from each side

6-6 - ( x-7) ^ 1/3 = 3-6

- ( x-7) ^ 1/3 = -3

Divide each side by a negative

 ( x-7) ^ 1/3 = 3

Cube each side

 ( x-7) ^ 1/3 ^3 = (3)^3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Check

6 - ( 34-7) ^ 1/3 = 3

6 - (27^1/3 = 3

6 -3 =3

3=3

Good solution

8 0
3 years ago
Other questions:
  • What common angle do ΔCDG and ΔFCE share?<br><br> a. ∠C<br> b. ∠F<br> c. ∠E<br> d. ∠D
    15·1 answer
  • A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that
    9·1 answer
  • Analyze the diagram below and complete the instructions that follow.
    12·1 answer
  • I need help with all of them
    6·1 answer
  • Can someone help me with this? It’s dues tomorrow this is for science but there’s no science
    5·1 answer
  • I don't what to do<br> Only 1-9
    13·1 answer
  • 1 is the only number that's neither prime nor composite-right?
    12·1 answer
  • Please explain to the point a dummy will understand
    6·1 answer
  • A box is pulled to the right with a force of 65 N at an angle of 58 degrees to the horizontal. The surface is frictionless. The
    6·2 answers
  • Need help with homework plz and thank u :)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!