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
BabaBlast [244]
3 years ago
10

Events A and B have probabilities such that P(A) = 0.3, P(B) = 0.25, P(M ∪ N) = 0.425, and P(M ∩ N) = 0.075. Are events A and ev

ent B independent? (I think is the middle one)
Question options:

Yes, because P(M) - P(N) = P(M ∩ N)
Yes, because P(M) ∙ P(N) ≠ P(M ∩ N)
Yes, because P(M) ∙ P(N) = P(M ∩ N)
No, because P(M) + P(N) = P(M ∪ N)
No, because P(M) ∙ P(N) ≠ P(M ∪ N)
Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0

Answer:

(C)Yes, because P(M) ∙ P(N) = P(M ∩ N)

Step-by-step explanation:

Two events A and B are independent if P(A)P(B)=P(A ∩ B)

Given events A and B such that:

P(A) = 0.3, P(B) = 0.25, P(A ∪ B) = 0.425, and P(A ∩ B) = 0.075

  • P(A)P(B)=0.3 X 0.25 =0.075
  • P(A ∩ B) = 0.075

Since the two expression above gives the same answer, they are independent.

<u>The correct option is C.</u>

You might be interested in
Solve.
jenyasd209 [6]

Answer:

no solution

Step-by-step explanation:

(you do the exact same you'd do in an equation problem. Get x by itself)

3x+1<2x-2<5x+7

1 < -x-2 < 5x+7

3< -x < 5x+9

3 < -6x < 9

-(1/2) > x > -(3/2)

x can't be bigger than -3 halves and be smaller than -1 half, so the answer is no solution

6 0
3 years ago
If the perimeter of a triangle is 31 ft and two of the side lengths are 15 ft and 10 ft, what is the length of the third side?
erastovalidia [21]

Answer:

C) 6 ft

Step-by-step explanation:

Perimeter is just adding the side lengths together so...

31-15-10=x

6=x

so your answer is 6ft

3 0
2 years ago
Read 2 more answers
In a bag of 50 marbles, 20 marbles are blue or pink.
Scorpion4ik [409]

Answer:

40%

Step-by-step explanation:

The ratio is 20:50, we can expand to 40:100, so 40%

8 0
3 years ago
This is page four what is the answer
Fittoniya [83]

Answer:

The answer is she lost 9 matches

Step-by-step explanation:

5 0
2 years ago
I NEED HELP LOL<br><br> What is the value of g(-4)?
Elena L [17]

Answer:

C. 1

Step-by-step explanation:

Use the first one since it is -4 so

6 0
3 years ago
Other questions:
  • On your family trip, you used 14 gallons of gas.
    10·1 answer
  • Solve the equation below showing all steps.<br> 3/4 (x + 3) = 9
    8·2 answers
  • Find x of the angles are supplementary 3x-2 and 41 degrees ?
    9·1 answer
  • Sam road his bike 1/5 of a mile and walked another 3/4 of a mile. How far did he travel?
    13·2 answers
  • -9 x 2 1/2 What is the value of the expression
    9·1 answer
  • PLEASE I AM BEGGING YOU EXTRA POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!
    7·2 answers
  • Kristin spent $100 on shirts. Fancy shirts cost $15 and plain shirts cost $4. If she bought a total of 14 then how many of each
    8·2 answers
  • If two dices are rolled, and the numbers multiplied together, find the
    15·1 answer
  • The store's rectangular floor is 42 meters long and 39 meters wide. How many meters of flooring do they need? Use estimation to
    6·1 answer
  • Write equivalent fractions for 1/4,1/2,and 7/9 using the least common denominator.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!