Mathematics, 13.02.2020 20:58 61497

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

Answers: 1

Show answers

Answers

Answer from: jdkrisdaimcc11

If a randomly selected component needs rework, the probability that it came from line A1 is 36.23%.

Given that a company uses three different assembly lines- A1, A2, and A3- to manufacture a particular component, and of those manufactured by line A1, 5% need rework to remedy a defect, whereas 8% of A2's components need rework and 10% of A3's need rework, supposing that 50% of all components are produced by Line A1, 30% are produced by line A2, and 20% come from line A3, if a randomly selected component needs rework, to determine what is the probability that it came from line A1 the following calculation must be performed:

0.5 x 0.05 = 0.025 0.025 + (0.3 x 0.08) + (0.2 x 0.1) = 0.025 + 0.024 + 0.02 = 0.069 69 = 100 25 = X 25 x 100/69 = X 36.23 = X

Therefore, if a randomly selected component needs rework, the probability that it came from line A1 is 36.23%.

Learn more in link

Answer from: phillswift2020

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 R 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.

Answer from: Quest

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)

Answer from: Quest

answer: the first one

step-by-step explanation: use a calculator and divide the minutes by the dollars.

Which carrier has a lower rate ? a)carrier a b)carrier b c) carrier a and b have both the same unit

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Enter the number of complex zeros for the polynomial function in the box. f(x) = x+ + 5x² +6

Answers: 2

Answer

Mathematics, 21.06.2019 16:30

Ineed if you could explain and give me the answer you! this needs done

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.

Answers: 3

Answer

Mathematics, 21.06.2019 23:30

Find │–14│ a. 14 b. –14 c. start fraction 1 over 14 end fraction

Answers: 2

Answer

You know the right answer?

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

Questions