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
elena-s [515]
2 years ago
6

A company uses three different assembly lines- A1, A2, and A3- to manufacture a particular component. Of thosemanufactured by li

ne A1, 5% need rework to remedy a defect, whereas8% of A2's components need rework and 10% of A3's need rework.Suppose that 50% of all components are produced by Line A1, 30% areproduced by line A2, and 20% come from line A3. if a randomlyselected component needs rework, what is the probability that itcame from line A1?
Mathematics
1 answer:
hammer [34]2 years ago
6 0

Answer:

The probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.

Step-by-step explanation:

The three different assembly lines are: A₁, A₂ and A₃.

Denote <em>R</em> as the event that a component needs rework.

It is given that:

P (R|A_{1})=0.05\\P (R|A_{2})=0.08\\P (R|A_{3})=0.10\\P (A_{1})=0.50\\P (A_{2})=0.30\\P (A_{3})=0.20

Compute the probability that a randomly selected component needs rework as follows:

P(R)=P(R|A_{1})P(A_{1})+P(R|A_{2})P(A_{2})+P(R|A_{3})P(A_{3})\\=(0.05\times0.50)+(0.08\times0.30)+(0.10\times0.20)\\=0.069

Compute the probability that a randomly selected component needs rework when it came from line A₁ as follows:

P (A_{1}|R)=\frac{P(R|A_{1})P(A_{1})}{P(R)}=\frac{0.05\times0.50}{0.069}  =0.3623

Thus, the probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.

You might be interested in
What is the perimeter of isosceles trapezoid KLMN?? HELP<br> ASAP!!!!
algol13
MN = √2
it comes from √(1^2 + 1^2) = √2 (use phytagoras)

LK = 2 x MN = 2 √2

NK = √(2^2 + 1^2) = √5

ML = NK = √5

so the perimeter
√2 + 2 √2 + √5 + √5
3 √2 + 2 √5
4 0
3 years ago
Which part of a sphere is the same distance from all points that are on the sphere?
azamat
D) Center I'm sure of it
6 0
3 years ago
What is the factored form of x2 - 10x + 24
umka2103 [35]

Answer:

(x-6) (x-4)

Step-by-step explanation:

x^2 - 10x + 24

What 2 numbers multiply to 24 and add to -10

-6*-4 = 24

-6+-4 = -10

(x-6) (x-4)

4 0
3 years ago
X2 + 1/2x +__ = 2 + __
Brut [27]

Complete the Square:

\frac{b}{2a} Plug your numbers in this function

\frac{\frac{1}{2} }{2} You get this

That equals \frac{1}{4}

3 0
3 years ago
Read 2 more answers
In parallelogram ABCD if m
balu736 [363]

Answer:

no idea what the answer is

6 0
3 years ago
Read 2 more answers
Other questions:
  • Explain how you can use the distributive property to check the binomial factors when a trinomial has been factored. Include an e
    12·1 answer
  • Section 208 of nassau veterans Memorial Coliseum has 17 rows. The first row has 13 seats in it. If you add two seats to the prev
    12·1 answer
  • Which order pair is a solution to every linear equation in the form of ax+bx=0
    5·1 answer
  • the radius of the base of a cylinder is 39 in and it’s height is 33 in. find the surface area of the cylinder in terms of pi
    9·1 answer
  • write five decimals that have at least 3 didgets to the right of the decimal write write write the expanded form and word form f
    7·1 answer
  • Put in order from least to greatest: -8,3,9,-1,-12
    10·1 answer
  • a photograph 6 inches wide by 8 inches long is scaled to 12 inches long in a book.what is the width of the published picture?
    14·1 answer
  • Suppose u and v are functions of x that are differentiable at x=0 and that u(0)= 7,u'(0)=-5,v(0)= -1, v'(0)= -4.
    7·1 answer
  • Segment &amp; Angle Addition Test
    7·1 answer
  • Can someone else explain how to do problems like this?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!