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
kirill115 [55]
3 years ago
15

In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o

f the dogs and 6 of the cats are male. Find each of the following conditional probabilities if an animal is selected at random: a) The pet is male, given that it is cat. b) The pet is a cat, given that it is female. c) The pet is female, given that it is a dog.
Mathematics
1 answer:
andrezito [222]3 years ago
5 0

Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

Total female animals=42-14=28

Female cats=18-6=12

Dogs female=24-8=16

a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)  

Conditional probability: P(A/B)=\frac{P(A\cap B)}{P(B)}

P(Cat)=\frac{18}{42}

P(male cat)=\frac{6}{42}

P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}

P(male/cat)=\frac{6}{18}=0.33

b.P(female cat)=\frac{12}{42}

P(female)=\frac{28}{42}

P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43

c.P(Dog)=\frac{24}{42}

P(dog female)=\frac{16}{42}

P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}

P(female/dog)=\frac{16}{24}=0.67

You might be interested in
15. Fatima bought a video game that has a
OleMash [197]

Answer:

Step-by-step explanation:

Discount = 15% of 45

=\frac{15}{100}*45\\\\=\frac{675}{100}=6.75

= $6.75

Price of the video game = 45 - 6.75 = $38.25

Tax = 7%of 38.25

=\frac{7}{100}*38.25\\\\=\frac{267.75}{100}=2.6775

Price paid by Fatima for the video game = 38.25 + 2.68 = $ 40.93

6 0
3 years ago
Suppose that the hourly wages of fast food workers are normally distributed with an unknown mean and standard deviation. The wag
Nutka1998 [239]

Answer: 1.303639

Step-by-step explanation:

The t-score for a level of confidence (1-\alpha) is given by :_

t_{(df,\alpha/2)}, where df is the degree of freedom and \alpha is the significance level.

Given : Level of significance : 1-\alpha:0.80

Then , significance level : \alpha: 1-0.80=0.20

Sample size : n=40

Then , the degree of freedom for t-distribution: df=n-1=40-1=39

Using the normal t-distribution table, we have

t_{(df,\alpha/2)}=t_{39,0.10}=1.303639

Thus, the t-score should be used to find the 80% confidence interval for the population mean =1.303639

8 0
3 years ago
Each of the c children at a park will receive at least 3 balloons. If 150 balloons are given out in all, what is the maximum num
Marizza181 [45]

Answer:

50

Step-by-step explanation:

150 divided by 3 = 50

3 0
3 years ago
Read 2 more answers
Find the unit rate of miles per hours of a plane that travels 3610 miles in 33.5 hours
Alik [6]
Plane would be going 107.761194. 3610 divided by 33.5 is about 107
3 0
3 years ago
Read 2 more answers
Solve for a, geometry work
melisa1 [442]

Answer:

a = 45 degrees

Step-by-step explanation:

Since both angles are a, they are equal to each other

Also, we know that the right angle means it measures 90 degrees

So, (180-90)/2 = a

a = 45 degrees

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which choice shows a 90 degree clock wise rotation of the figure about point p
    10·1 answer
  • A hotel chain charges $75 each night for the first two nights and $50 for each additional night’s stay. the total cost t is a fu
    14·2 answers
  • PLEASE HELP which of the following identities? Check all that apply
    7·2 answers
  • If the divisor is a two digit number,can you write a rule for how many digits in the dividend you will need to look at ti comple
    14·1 answer
  • How do you find the = in alterndte exterior angles
    6·2 answers
  • A number c increased by 17
    8·2 answers
  • I wish khan academy isn’t a thing
    5·1 answer
  • Yara saved $440. She spent 3/4 of it on a tablet. How much money did Yara spend on the tablet?
    14·2 answers
  • Which objects are luminous orange ball, some dogs, lamp, computer screen
    14·1 answer
  • What is the length of side x,y, and z
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!