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
Sauron [17]
3 years ago
10

A certain firm has plants A, B, and C producing respectively 35%, 15%, and 50% of the total output. The probabilities of a non-d

efective product are, respectively, 0.75, 0.95, and 0.85. A customer receives a defective product. What is the probability that it came from plant C?
Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

There is a 44.12% probability that the defective product came from C.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

-In your problem, we have:

P(A) is the probability of the customer receiving a defective product. For this probability, we have:

P(A) = P_{1} + P_{2} + P_{3}

In which P_{1} is the probability that the defective product was chosen from plant A(we have to consider the probability of plant A being chosen). So:

P_{1} = 0.35*0.25 = 0.0875

P_{2} is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

P_{2} = 0.15*0.05 = 0.0075

P_{3} is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

P_{3} = 0.50*0.15 = 0.075

So

P(A) = 0.0875 + 0.0075 + 0.075 = 0.17

P(B) is the probability the product chosen being C, that is 50% = 0.5.

P(A/B) is the probability of the product being defective, knowing that the plant chosen was C. So P(A/B) = 0.15.

So, the probability that the defective piece came from C is:

P = \frac{0.5*0.15}{0.17} = 0.4412

There is a 44.12% probability that the defective product came from C.

You might be interested in
What is 0.818181818181818181 as a fraction
Mariana [72]

Answer:

8/9

Step-by-step explanation:

8 0
3 years ago
Find the error in the following sample of work, if one exists.
ch4aika [34]

Answer:

D. There is no mistake.

Step-by-step explanation:

The following lines show the process of factorization by using common factor.

<u>Line 1:</u>

In line 1, the equation is given and is completely fine.

y^{2}+8xy+2y+16x=0

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.

<u>Line 2:</u>

In line 2, the terms are grouped, from which we can factor out common terms.

(y^{2}+8xy)+(2y+16x)=0

This is also fine.

<u>Line 3:</u>

In line 3, the common term y is taken out from group 1 and 2 from other group.

y(y+8x)+2(y+8x)=0

which is exactly what is given in line 3.

<u>Line 4:</u>

In line 4 the common factors can be seen and easily split into 2 factors.

(y+2)(y+8x)=0

which is exactly what is given in line 4.

Options:

A. The grouping is correct in line 2. So this option is does not hold.

B. Common factor was factored correctly from group 1. So this option does not hold.

C. Common factor was factored correctly from group 2. So this option does not hold.

D. There is no mistake. This is correct. Thus we choose this option as correct answer.

3 0
3 years ago
6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
eimsori [14]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

8 0
2 years ago
Which line has a slope of 1/2 and a negative y-intercept? *
vivado [14]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
A taxi company charges a
Nina [5.8K]

Answer:

6.25 I think

Step-by-step explanation:

im not really sure but I wish my answer is right

5 0
2 years ago
Read 2 more answers
Other questions:
  • Does anyone know how to graph this !!????!!
    8·1 answer
  • Helllp this is easy​
    5·2 answers
  • Please answer ASAP!! Thank you in advance, and remember to wash your hands consistently for 1 minute with antibacterial soap.
    5·1 answer
  • If you answered 65 questions correct on a 75 question test, what is your score?
    14·1 answer
  • What is the solution to the system of equations y=x+4 and y=-4+x
    5·2 answers
  • The table represents some points on the graph of a linear equation.What is the rate of change of y with respect to x for this fu
    10·2 answers
  • If m∠4= 138°. Find m∠1, m∠2, and m∠3. <br> please explain how to work this out
    10·1 answer
  • Simplify cot θ sec θ.
    8·2 answers
  • What’s the value of x?
    15·1 answer
  • Jasmine is a receptionist at a doctors office. She books 36 appointments each day. Four out of every 24 appointments are cancell
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!