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
inn [45]
3 years ago
7

If p(a|b) = 0.35, p(b) = 0.75 and p(a) = 0.44 are the events a and b independent ?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0
Hello : 
note 1 : 
 p(A|B) = p(A∩B)/<span> p(B)

note 2 : 
</span> A and B independent: p(A∩B) = p(A)×p(B)
calculate : p(A∩B)
p(A∩B) = p(A|B)×p(B)
p(A∩B) = 0.35 ×0.75 = 0.2625
but :  p(A)×p(B) = 0.44×0.75 = 0.33
 conclusion : 
<span>the events A and B  are not  independent ?</span>
You might be interested in
Find (g o f) (x) <br> F(x)= x^2 - 7x + 14 <br> g(x)= 4x-9
ella [17]

Answer:

i feel like kevin gates i dont get tired

Step-by-step explanation:

6 0
3 years ago
Please Help! Show all the steps!
likoan [24]

You can start by subtracting different equations from each other.

3x + 2y + 3z = 1

subtract

3x + 2y + z = 7

2z = -6

divide by 2

z = -3

add the following two expressions together:

3x + 2y + z = 7

3x + 2y + 3z =1

6x + 4y + 4z = 8

subtract the following two expressions:

6x + 4y + 4z = 8

5x + 5y + 4z = 3

x - y = 5

^multiply the whole equation above by 3

3x - 3y = 15

subtract the following two expressions:

3x - 3y = 15

3x + 2y = 10

-5y = 5

divide each side by -5

y=-1

take the following expression from earlier:

x - y = 5

substitute y value into above equation

x - - 1 = 5

2 negatives make a positive

x + 1 = 5

subtract 1 from each side

x = 4

Therefore x = 4, y = -1, z = -3

I checked these with all 3 equations and they worked :)

(it's quite complicated, comment if you don't understand anything) :)

7 0
3 years ago
Please help me and show your work
morpeh [17]

Answer:

Step-by-step explanation:

y = 3x + 4

Plugin x = 3 in the equation,

y = 3*3 + 4

 = 9 + 4

y = 13

Plugin x = 4 in equation,

y = 3*4 + 4

  = 12 + 4

y = 16

Plugin x = 5 in the equation,

y = 3*5 + 4

  = 15 + 4

y = 19

2) y =x - 7

Plugin x = 10 in the equation

y = 10 - 7

y = 3

Plugin x = 15 in the equation

y = 15 - 7

y = 8

Plugin x = 20 in the equation

y = 20 - 7

y = 13

6 0
2 years ago
Please help me solve 4 inequalities and show work. Will get brainiest!!
FrozenT [24]
1. y<span> ≤ 4x/3+5
2. y</span><span>< 6x/4+3</span>
5 0
3 years ago
Shira has 20 books on her bookshelf. Of those 15 are about horses, the rest are nature books. What fraction of Shiras books are
givi [52]

Answer:

1/4

Step-by-step explanation:

15 out of the 20 books are horses. 5 of those are nature. 5/20 is the fraction, but can be simplified to 1/4

6 0
3 years ago
Other questions:
  • Pleaseeeeeeeeeeeeeeeeeeeeeeee helppppppopoopppp me fasttttttt pleaseee​
    15·1 answer
  • Suppose a railroad rail is 5 kilometers and it expands on a hot day by 20 centimeters in length. How many meters would the cente
    12·2 answers
  • What is the sum of 1-2 and V-18?
    6·1 answer
  • Solve for h.<br><br> 6.51 - 9.32 + h = 1.02
    14·2 answers
  • Six oranges cost 5.34 how much does it cost for one orange
    12·1 answer
  • What is the product of -3 and 5?
    15·1 answer
  • 3 8/20 in simplest form
    10·1 answer
  • Look at the equation belowwhat is y=4x if x=9 what is y
    15·1 answer
  • Can some one write a system for all of these? it would really help me rn :(
    14·1 answer
  • Can someone check my answers please
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!