Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Using the binomial distribution, it is found that they would expect to find 240 dead batteries among the entire 12,000.
For each battery, there are only two possible outcomes, either it was dead or it was not. The probability of a battery being dead is independent of any other battery, hence the binomial distribution is used to solve this question.
What is the binomial probability distribution?
It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, we have that:
- One in 50 batteries are dead, hence p = 1/50 = 0.02.
- There is a total of 12,000 batteries, hence n = 12000.
Then:
E(X) = np = 12000(0.2) = 240
They would expect to find 240 dead batteries among the entire 12,000.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
