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
sergey [27]
2 years ago
14

Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and

40% in factory C. 5% of the bulbs produced in factory A, 3% of the bulbs produced in factory B and 4% of the bulbs produced in factory C are defective.A bulb is selected at random in the market and found to be defective. What is the probability that this bulb was produced by factory A?
Mathematics
1 answer:
astraxan [27]2 years ago
4 0

Answer:

0.4762 = 47.62% probability that this bulb was produced by factory A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Bulb is defective.

Event B: Produced by factory A.

Probability of a bulb being defective.

5% of 40%(factory A)

3% of 20%(factory B)

4% of 40%(factory C). So

P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042

Defective and from factory A:

5% of 40%. So

P(A \cap B) = 0.05*0.4 = 0.02

What is the probability that this bulb was produced by factory A?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762

0.4762 = 47.62% probability that this bulb was produced by factory A

You might be interested in
Let H = {1J4, (1 2)(3 4), (1 3)(2 4), (1 4)(2 3)
Monica [59]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

3 0
3 years ago
Adisa borrows $5,000 at 14% interest, compounded twice a year. How much does she owe at the end of 8 years?
N76 [4]

The borrower owes $14,760.82  at the end of 8 years

What is compounding interest?

Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.

Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:

FV=PV*(1+r/n)^(n*t)

FV=loan balance after 8 years=unknown

PV=loan amount=$5,000

r=annual interest=14%

n=number of times in a year that interest is compounded=2(twice a year)

t=loan period=8 years

FV=$5000*(1+14%/2)^(2*8)

FV=$5000*(1.07)^16

FV=$5000*2.95216374856541

FV=loan balance after 8 years=$14,760.82

Find out more about semiannual compounding on:brainly.com/question/7219541.

#SPJ1

4 0
2 years ago
X+y=c x/y=p/q please find x and y
Paul [167]

Step-by-step explanation:

x=c-y. / x=py/q

y=c-x. / y=xq/p

7 0
3 years ago
Read 2 more answers
In 2009 the life expectancy is about 80 life expectancy gains 5.7 years every decade. From 2009 in how many years would humanity
Dmitry [639]

Answer:

  about 70 years

Step-by-step explanation:

Life expectancy (e) improves by 5.7 years every 10 years, so 5.7/10 = 0.57 years per year. For t years after 2009, it can be modeled by ...

  e = 0.57t +80

We want to find when that is 120:

  120 = 0.57t +80

  40 = 0.57t

  40/0.57 = t ≈ 70.2

About 70 years from 2009, humanity may achieve a life expectancy of 120 years.

3 0
3 years ago
PLEASE HELP! THIS IS THE LAST QUESTION ON MY HOMEWORK!
Pepsi [2]
(2/12) X (4/11) X (3/10) = .018
8 0
3 years ago
Read 2 more answers
Other questions:
  • Help me with question number 1 am very confused
    13·2 answers
  • Please help me Fill in the blank with a variable term to make the equation true
    13·1 answer
  • A basketball team averaged 105 points per game how many points did the team score in 6 games
    10·1 answer
  • Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35 cents off each can. What was the price of a can of tuna
    14·1 answer
  • A. a relation only
    7·2 answers
  • Two boats start their journey from the same point A and travel along directions AC and AD, as shown below: ABC is a right triang
    10·2 answers
  • Rewrite 15 ^ 1/3 in radical form​
    15·1 answer
  • Compare 9/10 or 90percent'
    6·1 answer
  • Eight identical pens cost $10.80.
    6·1 answer
  • What is the solution to the system of equations? 2x – y = 7 y = 2x 3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!