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
Amanda [17]
3 years ago
8

Records indicate that for parts coming out a hydraulic repair shop at an airplane rework facility, 30\% will have a shaft defect

, 15\% will have a bushing defect, and 65\% will be defect-free. Let A="The item has at least one type of defect"; and B="The item has only a shaft defect". Find P(A|B)
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer:

P(A|B) = P(A∩B)/P(B) = 100%

Which means that there is 100% probability that the item has at least one type of defect given that the item has only a shaft defect.

Step-by-step explanation:

Conditional probability P(A|B) can be expressed as;

P(A|B) = P(A∩B)/P(B) .....1

Given;

30% will have a shaft defect,

15% will have a bushing defect,

and 65% will be defect-free

Total probability = 100% = P(shaft or/and bushing defect) + P(defect free)

P(shaft or/and bushing defect) = 100% - P(defect free)

= 100% - 65% = 35%

And

P(shaft or/and bushing defect) = P(shaft def only) + P(bushing def only) + P(shaft and bushing defect)

P(shaft or/and bushing defect) = P(shaft defect) + P(bushing defect) - P(shaft and bushing defect)

Substituting the values we have;

35% = 30% + 15% - P(shaft and bushing defect)

P(shaft and bushing defect) = 45% - 35% = 10%

Let A="The item has at least one type of defect"; and B="The item has only a shaft defect".

P(A) = P(shaft or/and bushing defect) = 35%

P(B) = P(shaft only defect) = 30% - 10% = 20%

P(A∩B) = 20%

Substituting into equation 1

P(A|B) = P(A∩B)/P(B) = 20%/20%

P(A|B) = 1/1 = 100%

Which means that there is 100% probability that the item has at least one type of defect given that the item has only a shaft defect.

You might be interested in
Which graph represents the function ƒ(x) = 3|x – 1|?
Alex

Answer:

C

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Fertilizer must be mixed with water in a 1:4 ratio. If you use 3
aivan3 [116]

Answer:

12

Step-by-step explanation:

1:4 = 3:12

3 0
3 years ago
Read 2 more answers
Solve the system of equations
STALIN [3.7K]

the answer will be C. (4,2)

6 0
3 years ago
(SHOW WORK! Need by tomorrow!) Write a system of equations to describe the situation below, solve using substitution, and fill i
Leto [7]

Answer:

1 hour later , 21 pages read

Step-by-step explanation:

x hour later they will read the same number of pages

Tori: 16 + 5x

cora: 13 + 8x

16 + 5x = 13 + 8x

minus 5x each sides: 16 = 13 + 3x

minus 13 each sides: 3 = 3x

divide 3 each sides: x = 1

1 hour later both of them will read 16 + 5 x 1 = 21 pages

check cora: 13 + 8 x 1 = 21

7 0
3 years ago
Read 2 more answers
SOLVE PLEASE 11x – 9 > 13 or –4x – 4 < 8.
Readme [11.4K]
11x-9>13 -- add 9 to both sides
11x>22 -- divide by 11
x>2

-4x-4<8 -- add 4 to both sides
-4x<12 -- switch signs (to make variable positive)
4x<-12 -- divide by 4
x<-3
5 0
3 years ago
Other questions:
  • Given: m VKP =148° Find: m∠JPV
    14·1 answer
  • Estimate -9 1/6 + 2 1/3 +(-1 7/8
    7·1 answer
  • stephen ran 5/10 kilometer. then he ran 20/100 kilometer. how much farther does Stephen need to run to complete 1 kilometer?
    7·1 answer
  • HELP ME AND ILL MARK YOU BRAINLIEST PLEASE IM FAILING
    12·1 answer
  • if 4/5 cups of brown sugar is needed for every 3/4 cup flour how much is needed for 1 pound of flour.
    9·2 answers
  • Y + 5 = -x<br> Slope intercept
    10·1 answer
  • If Hector is 8 years old and Mary is 3 years old, how old will Mary be when Hector is 16? Can I use proportional reasoning in he
    9·1 answer
  • (-8 ÷ 4) + 5 + 4(3 - 6)=
    9·2 answers
  • Multiply (−4) × (−2) × (−5).
    10·2 answers
  • Plzzz help I need help so bad
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!