Characteristics of a binomial experiment

A laptop manufacturing company has implemented a 2-step process to test the quality of each production batch. In the first step, a technician randomly selects 15 laptops from the batch and determines whether they meet specifications. The batch is considered acceptable provided no more than 1 laptop fails to meet specifications. Otherwise, the entire batch must be tested in the second step. Historical data shows that 95% of the laptops produced adhere to specifications. Discuss the following:

What are the 4 characteristics of a binomial experiment?
Can we use a binomial distribution to model this process?
What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? (Hint: Use Excel’s =BINOMDIST() function to find the probability.)
What is the probability that the batch is incorrectly accepted if only 75% of its laptops conform to specifications?

 

Sample Solution

Binomial experiments have a predetermined number of trials and just one of two possible outcomes. Learn more about the definition of binomial experiments and how to recognize and interpret them. Zoey and her brother, Gabe, have a long-standing tradition. They flip a coin to determine who is responsible for taking out the trash. If it’s heads, Zoey is responsible for taking out the trash; if it’s tails, Gabe is responsible for taking out the trash. Despite the fact that Zoey and Gabe use a standard coin, Zoey believes the practice is unjust.

However, there are a number of challenges coming from concerns about how digital technologies are used in learning. Harris et al (2009) argue that current use of technology tends to be focused on skills required by teachers to integrate these in their classrooms, rather than students’ learning needs. Also, Burden and Atkinson (2008) suggests that most digital technologies in use in the classrooms were not created as educational tools, but have been adapted by educators for pedagogical purposes.

Numerous studies have focused on the barriers faced by the institutions when they attempt to integrate digital technologies in learning, and strategies that can be employed to overcome these barriers. Hew and Bush (2007) grouped these barriers in categories such as: structure of institutions, learning environment, assessment of learning or attitudes of learners.

Therefore, an example of barrier is found in Banyard research (2006), where it was found that the relationship between the use of digital technology and academic achievement is not direct. The findings of this research suggests that there is a weak or non-existing relationship between the introduction of digital technologies and the average performance of learners on standardised tests ( Banyard et al 2006, Underwood et al 2005). Banyard resumes by saying that the value of learning technologies can only be demonstrated if the assessments were able to model the learning that took place using these technologies.

Also, the hazards of the use of digital technology are described in research such as plagia

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