We appreciate your visit to A car manufacturing plant assembles 26 cars with 7 having bad brakes A random inspection reviews 4 cars brakes What is the probability that all. 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 :
The probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
To calculate the probability that all the randomly chosen cars have good brakes, we need to consider the number of cars with good brakes and the total number of cars.
Total number of cars assembled: 26
Number of cars with bad brakes: 7
To calculate the probability, we can use the concept of combinations.
The number of ways to select 4 cars out of the remaining 26-7 = 19 cars with good brakes is given by the combination formula:
C(n, r) = n! / (r! * (n-r)!)
where n is the total number of cars with good brakes and r is the number of cars to be randomly selected.
In this case, n = 19 and r = 4.
The total number of ways to select 4 cars from the total pool of 26 cars is given by the combination formula:
C(26, 4) = 26! / (4! * (26-4)!)
Now, we calculate the probability that all the randomly chosen cars have good brakes:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
Number of favorable outcomes = C(19, 4)
Number of total outcomes = C(26, 4)
Probability = C(19, 4) / C(26, 4)
Using a calculator, we can compute these combinations and evaluate the probability:
Probability ≈ 0.169
Therefore, the probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
To know more about probability click here :
https://brainly.com/question/28417020
#SPJ2
Thanks for taking the time to read A car manufacturing plant assembles 26 cars with 7 having bad brakes A random inspection reviews 4 cars brakes What is the probability that all. 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
Answer:
p = 0.259264214
Step-by-step explanation:
26 - 7 = 19 with good brakes
Probability of picking 4 with good brakes
p = 19/26 * 18/25 * 17/24 * 16/23
p = 0.259264214
