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
snow_tiger [21]
2 years ago
12

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

tire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 180 are defective. If 6 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected
Mathematics
1 answer:
GuDViN [60]2 years ago
8 0

Answer:

P = 0.1447

Step-by-step explanation:

Given

n = 7000 -- total

d = 180 --- defective

r = 6 --- selected

Required

The probability of rejecting the batch

This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

So, we have:

Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}

Pr = 0.8553

Using the complement rule, the probability that the batch will be rejected is:

P = 1 - 0.8553

P = 0.1447

You might be interested in
The World Health Organization analyzed generic drugs in 45 countries. It collected 3,575 samples. The sample proportion that tes
Oksi-84 [34.3K]

Answer:

People's health benefits from the drug is very low.

Step-by-step explanation:

From the question, the generic drugs from the population proportion has 1% placebo effect which is very low. This means that the beneficial health outcome resulting from people ’s anticipation that an intervention will help from the generic drug is very low.

4 0
3 years ago
Doug left $3 as a tip on a lunch bill of $14.
Svetllana [295]

Answer:

a)

Step-by-step explanation:

5 0
3 years ago
Name three angles that sum to 180 degrees
aliya0001 [1]

Answer:

Three 60 degree angles would equal 180 degrees

Step-by-step explanation:

7 0
3 years ago
Simplify the expression of 3 <br> 162x^5y8/6x^2y^2
Blababa [14]

Answer:

Step-by-step explanation:

6 0
2 years ago
Anyone want to share a google doc with me for fun?
Kruka [31]

Answer:

I would but my account only let's me share within my school district :/

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • HW Help -
    5·1 answer
  • Please help with geometry! Will give thanks and brainliest answer.
    14·1 answer
  • On the day you retire you have $1,000,000 saved. You expect to live another 25 years during which time you expect to earn 6.19%
    15·1 answer
  • How old are all of y'all if I'm 10 and if you are 12 then what is 12times10
    8·2 answers
  • Solve each equation. Check your solution.<br><br> 7a+10=2a
    13·1 answer
  • This is important please help
    10·1 answer
  • PLEASE HELP QUICK WILL MARK BRAINLIEST
    5·1 answer
  • A waiter earned a 7% tip. What decimal is equivalent to 7%?
    5·1 answer
  • Let f(x) = 3x + 4 and g(x)= x2 - x + 2. Perform the function operation and then find the domain.
    14·1 answer
  • Help quick, it's based on polynomials .<br>Find the area of the shape​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!