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
Crazy boy [7]
3 years ago
14

A component is assembled in a four-step process. The probability of making a defect in step 1 is 10%; in step 2, 20%; in step 3,

8%; and in step 4, 5%. What is the probability that the component will be defective?
Mathematics
2 answers:
rjkz [21]3 years ago
4 0

Answer:

0.37072

Step-by-step explanation:

Let A be the event that step 1 is defective (P(A) = 10%), B the event that step 2 is defective(P(B) = 20%), C the event that step 3 is defective (P(C) = 8%), D the event that step 4 is defective(P(D) = 5%). Let us suppose that the occurance of a failure at any step is indepent of the other steps.

Recall the following properties

P(A) = 1- P(A^c)

(A\cup B )^c = A^c \cap B^c)

And given A, B, C, D independent , then

P(A\cap B \cap C \cap D) = P(A)P(B)P(C)P(D)

REcall that if the a set of events A,B,C,D are independent, their complements are also indepent.

Since we are asked for the probability of a defective item, this means that at least one of the steps is defective. Then, we are asked for the following probability:

P(A\cup B \cup C \cup D) = 1 - P((A\cup B \cup C \cup D)^c) = 1 - P(A^c \cap B^c \cap C^c \cap D^c ) = 1 - P(A^c)P(B^c) P(C^c) P(D^c) = 1-(1-P(A))(1-P(B))(1-P(C))(1-P(D))

= 1-(0.9)(0.8)(0.92)(0.95) = 0.37072

PilotLPTM [1.2K]3 years ago
4 0

Answer:

Correct answer is 37.1 % . Explanation is given below :

Production                                                                    

steps deffective   without defects  (100)            (100-100=0)

1          10                      90   100*90/100=90         100-90=10

2          20                       80   90*80/100=72                100-72=28

3          8                       92   72*92/100=66.24     100-66.24-33.76

4          5                      95     66.24*95/100=62.928       100-62.928=37.1

You might be interested in
The following dot plot represents a random sample of elementary students and the number of children that live in their home.
maw [93]

Answer:

do. you know what the poem states nean please i need help

Step-by-step explanation:

please help me

5 0
3 years ago
The screen on briannas new phone is 2.85 centimeters long. what mixed number represents the length of the phone screen?
hodyreva [135]
Wait let me think this over

6 0
3 years ago
The Pit BBQ food truck sells two combo packs of ribs and brisket. Combo A contains 10 oz of brisket and 16 oz of ribs and sells
GenaCL600 [577]

The maximum revenue is $700 which is at 16 combo A and 12 combo B.

<h3>Inequality</h3>

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let x represent the number of combo A and y represent the number of combo B, hence:

10x + 20y ≤ 400 (1)

Also:

x + y ≤ 28   (2)

The solution is at (16,12). Hence:

Revenue = 21.25 * 16 + 30 * 12 = $700

The maximum revenue is $700 which is at 16 combo A and 12 combo B.

Find out more on Inequality at: brainly.com/question/24372553

3 0
2 years ago
In this question, all lengths are in centimetres.
JulsSmile [24]

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

3 0
3 years ago
What is the equation of the line that passes through (2, 7) and is perpendicular to y= -5
timofeeve [1]

Answer:

x = 2

Step-by-step explanation:

y = - 5 is a horizontal line parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

Where c is the value of the x- coordinates the line passes through.

The line passes through (2, 7) with an x- coordinate of 2, thus

x = 2 ← is the equation of the perpendicular line

5 0
3 years ago
Other questions:
  • Write down the general zeroth order linear ordinary differential equation. Write down the general solution.
    9·1 answer
  • What is the total surace area of the cylinder? Write your answer as a polynomial in standard form.
    6·2 answers
  • The slope-intercept form of an equation is y = mx + b. rewrite the equation in terms of the slope m
    6·1 answer
  • Help with my geometry. please?
    7·1 answer
  • What is a rule for the sequence below?
    7·2 answers
  • A) Write an equation for the line of best fit.
    12·1 answer
  • What are the prime numbers​
    7·2 answers
  • Please help with this!
    11·2 answers
  • LOL i need help this is due in like 15 minutes and i don't know what to do
    7·1 answer
  • If x = 2 and y = 3, then 4x​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!