We appreciate your visit to A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle Estimate the probability that the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find the probability that the next bottle is defective, we need to understand the pattern of how bottles are marked. Here’s how you can figure it out step by step:
1. Count the Total Number of Bottles:
The sequence provided is a series of numbers where each '0' represents a correct bottle and each '1' represents a defective bottle. Count all the numbers in the sequence. There are 21 numbers in total.
2. Count the Number of Defective Bottles:
In the sequence, count how many '1's appear. There is 1 defective bottle in this sequence.
3. Calculate the Probability:
The probability of an event is calculated as the number of favorable outcomes (defective bottles) divided by the total number of outcomes (total bottles).
So, the probability [tex]\( P \)[/tex] that the next bottle is defective is:
[tex]\[
P(\text{defective}) = \frac{\text{Number of defective bottles}}{\text{Total number of bottles}} = \frac{1}{21}
\][/tex]
4. Interpreting the Result:
The calculated probability is approximately 0.0476, which means there is about a 4.76% chance that the next bottle is defective.
Therefore, the probability that the next bottle will be defective is [tex]\(\frac{1}{21}\)[/tex]. This corresponds to approximately 0.0476, which is not exactly any option provided but closest to [tex]\(\frac{1}{20}\)[/tex] when considering typical rounding in percentage terms to two decimal places.
1. Count the Total Number of Bottles:
The sequence provided is a series of numbers where each '0' represents a correct bottle and each '1' represents a defective bottle. Count all the numbers in the sequence. There are 21 numbers in total.
2. Count the Number of Defective Bottles:
In the sequence, count how many '1's appear. There is 1 defective bottle in this sequence.
3. Calculate the Probability:
The probability of an event is calculated as the number of favorable outcomes (defective bottles) divided by the total number of outcomes (total bottles).
So, the probability [tex]\( P \)[/tex] that the next bottle is defective is:
[tex]\[
P(\text{defective}) = \frac{\text{Number of defective bottles}}{\text{Total number of bottles}} = \frac{1}{21}
\][/tex]
4. Interpreting the Result:
The calculated probability is approximately 0.0476, which means there is about a 4.76% chance that the next bottle is defective.
Therefore, the probability that the next bottle will be defective is [tex]\(\frac{1}{21}\)[/tex]. This corresponds to approximately 0.0476, which is not exactly any option provided but closest to [tex]\(\frac{1}{20}\)[/tex] when considering typical rounding in percentage terms to two decimal places.
Thanks for taking the time to read A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle Estimate the probability that the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
