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
Vikki [24]
3 years ago
9

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

tire batch is accepted if every item in the sample is okay. The ABC Electronics Company has just manufactured 2100 write-rewrite CDs, and 60 are defective. If 3 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer:

0.9167 = 91.67% probability that the entire batch will be accepted

Step-by-step explanation:

The CDs are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

2100 write-rewrite CDs, and 60 are defective.

This means, respectively, that N = 2100, k = 60

3 of these CDs are randomly selected for testing

This means that n = 3

What is the probability that the entire batch will be accepted?

Probability of none defective, so P(X = 0).

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167

0.9167 = 91.67% probability that the entire batch will be accepted

You might be interested in
Three consecutive integers have a sum of 48 find the integers?
zavuch27 [327]

The sum of three consecutive integers is three times the middle one: if we call the middle one x, the three numbers are

x-1,\ x,\ x+1

So, their sum is x-1+x+x+1 = 3x

Which is three times the middle one.

So, if the sum of three consecutive intergers is 48, the middle one must be 48/3 = 16.

So, the three numbers are 15, 16 and 17

6 0
3 years ago
Does anyone know what this is?
KIM [24]

Answer:

45°

Step-by-step explanation:

90÷2 = 45

8 0
3 years ago
Read 2 more answers
Which of the following is the graph of (x + 1)2 + (y − 6)2 = 36?
Brrunno [24]

Answer:

Step-by-step explanation:

Slope:  

− 1

y-intercept:  

23

5 0
2 years ago
Read 2 more answers
Jeremy is the oldest of four brothers. Each of the four boys gets an allowance for doing chores at home each week. The amount of
frez [133]
$12.75-$11.25= $1.50, $9.75-$1.50= $8.25 his little brother should get $8.25 hope it helps
4 0
3 years ago
Hello! Can someone help me with this, please?
Trava [24]

Answer:

5.5 ft

Hope this helped!

5 0
2 years ago
Read 2 more answers
Other questions:
  • If y=1/10 , which of the following expressions will produce a value of 15? Statement 14.7+3y 2y+14.6 15.5−5y 17−3y
    15·1 answer
  • PLEASE HELP ME!
    6·1 answer
  • Make x the subject of y(x+z)=3z(x+y)
    11·2 answers
  • Describe the process for calculating the area of this figure
    12·2 answers
  • Find cot θ if csc θ = square root of seventeen divided by four and tan θ > 0.
    6·2 answers
  • Help me = crown :3 tysm
    14·2 answers
  • The auditorium where the spring musical will be performed has 10 seats in the 1st (front) row. Each row behind the Ist row has 4
    11·2 answers
  • An inequality is shown: 5 over 4 r less or equal than negative 15 Which of the following values are solutions to this inequality
    13·1 answer
  • Vertex, maximum height, and axis of symmetry
    12·1 answer
  • 5. Two trains travel in the same direction on
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!