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
vovikov84 [41]
2 years ago
14

If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?

Mathematics
1 answer:
pashok25 [27]2 years ago
7 0

The events A and B are not independent.

Given that,

                  P(A|B) = 0.4

                  P(A) = 0.5

                  P(B) = 0.8

Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)

We have, P(A|B) = P(A∩B)/P(B)

Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32

Now P(A) P(B) = 0.5 x 0.8 = 0.4

So P(A∩B) ≠ P(A)P(B)

Therefore, the events A and B are not independent.

Learn more about independent events at brainly.com/question/22881926

#SPJ4

You might be interested in
Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne
FrozenT [24]
The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
3 0
3 years ago
Tom went to a shop where there was a 20% off sale taking place
-Dominant- [34]
Find 20 percent of $20 by multiplying 0.20 x20

You get $4. That’s what he saved.
7 0
3 years ago
I would like to know the right answer of this graph.
jeka94

Answer:

(6,-4)

Step-by-step explanation:

P(-2,2)

-2 - 4 = 6

2 - 6 = -4

4 0
3 years ago
Plz Help me with this question
aivan3 [116]

Answer:

The Equivalent Resistance are 5ohms

hope this helps!

5 0
3 years ago
Last one - Thank you an advance :)
Ivan
Answers:
a. Given
b. Transitive property of congruence
c. Vertical angles are congruent
d. Transitive property of congruence

Let me know if you need any clarification as to how I got those answers. They should be self-explanatory but I'm happy to clarify further if needed. 

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 9minus w = to
    10·2 answers
  • the tangent to curve y = 2x / x - 1 which is not equal to1, at the point (2,4) and the normal to the same curve at the point (3,
    7·1 answer
  • Explain the converse of the Pythagorean theorem.
    10·2 answers
  • Find the value of this expression if x=9 x2 + 6 / x - 6
    6·2 answers
  • Use the GCF and the distributive property to rewrite 15+45
    13·2 answers
  • Zoe is collecting books to donate. She started with 3 books and collects two more each week. She is using the equation b = 2w +
    9·1 answer
  • Which answer choice shows the simplified version of this expression?
    15·2 answers
  • What’s the value of x ?
    8·1 answer
  • In the picture is my question :3 thank you so much for your help!
    8·1 answer
  • Right ΔABC has legs of lengths 4 ft and 7 ft. What is the length of the triangle’s hypotenuse?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!