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
alexandr402 [8]
3 years ago
12

Factories A, B and C produce computers. Factory A produces 4 times as manycomputers as factory C, and factory B produces 7 times

as many computers asfactory C. The probability that a computer produced by factory A is defective is0.04, the probability that a computer produced by factory B is defective is 0.02,and the probability that a computer produced by factory C is defective is 0.03. Acomputer is selected at random and found to be defective. What is the probabilityit came from factory A?
Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0

Answer:

The  probability is   P(A') =  0.485

Step-by-step explanation:

Let assume that the number of computer produced by factory C is  k = 1  

 So  From the  question we are told that

       The number produced by  factory A is  4k =  4

        The  number produced by factory B is  7k  = 7

        The  probability of defective computers from A is  P(A) =  0.04

        The  probability of defective computers from B is  P(B)  =  0.02

        The  probability of defective computers from C is P(C) =  0.03

Now the probability of factory A producing a defective computer out of the 4 computers produced is  

       P(a) =  4 *  P(A)

substituting values

        P(a) =  4 * 0.04

        P(a) = 0.16

The probability of factory B producing a defective computer out of the 7 computers produced is  

       P(b) = 7  *  P(B)

substituting values

        P(b) =  7 * 0.02

        P(b) = 0.14

The probability of factory C producing a defective computer out of the 1 computer produced is  

       P(c) = 1  *  P(C)

substituting values

        P(c) =  1 * 0.03

        P(b) = 0.03

So the probability that the a computer produced from the three factory will be defective is  

     P(t) =  P(a) +  P(b) +  P(c)

substituting values

     P(t) =   0.16  + 0.14 +  0.03

     P(t) =   0.33

Now the probability that the defective computer is produced from factory A is

      P(A') =  \frac{P(a)}{P(t)}

       P(A') =  \frac{ 0.16}{0.33}

        P(A') =  0.485

You might be interested in
Simplify (2/9)^3<br><br> A. 8/729<br> B. 6/9<br> C. 2/729<br> D. 8/9<br><br> No guessing please
Lunna [17]
Eliminate the exponent
2^3=8
9^3=729

The simplified answer would be 8/729.

Hope this helps! 
7 0
3 years ago
What is the range of the function y=4e^x
Harman [31]
Your answer is f(y) > 0
A is your answer
8 0
3 years ago
Read 2 more answers
The diagram shows the diameter of a circular stump. Which of the following is the closest to the circumference of the stump? ♡
galina1969 [7]

Answer:

im doing it rn but i think its 10.99

Step-by-step explanation:

6 0
2 years ago
125 is 500% of what number
MAVERICK [17]

let's say that number is "x", so "x" is then the 100%.

we know 125 is the 500%, and "x" is the 100, what is "x"?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 125&500 \end{array}\implies \cfrac{x}{125}=\cfrac{100}{500}\implies \cfrac{x}{125}=\cfrac{1}{5} \\\\\\ 5x=125\implies x=\cfrac{125}{5}\implies x=25

5 0
3 years ago
How many solutions does the equation have? 3(73x+43)−2x+8=5x+12
Reptile [31]

Answer:

there is only one solution -125/212

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Can someone please help me with this question ASAP.It is due tommorrow.
    14·1 answer
  • Arithmetic of Functions Problem:
    9·2 answers
  • Solve (6 1/6 -2 5/6)x3
    8·1 answer
  • If you have the points (100,3.5), (200,7), (300,10.5), (400,14), (500,17.5). What is the function B(x)?
    10·1 answer
  • 17.
    10·1 answer
  • A line has a slope of 3 and passes through the point (-3, 8). What is the equation of the line​
    8·2 answers
  • PLS HELP ME OR ILL ME PLS :_:::::
    7·2 answers
  • Solve for k.<br> Give an exact answer.<br> 1/4k = 3(-1/4k+3)
    6·2 answers
  • Please help, will give brainliest!
    9·1 answer
  • Help please i don’t understand
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!