BSB131 – Applied Data Analytics Assessment

Question One

A large organisation promotes its call centre efficiency stating that the average time to answer all calls is 7.5 minutes with a standard deviation of 2.4 minutes. Assuming the waiting time duration is approximately normal:

1. What is the probability that a random customer would need to wait more than 10 minutes for their call to be answered?
2. What is the probability that a customer is answered in between 2 and 3 minutes?
3. What is the waiting time that the associated with the top 10% of customers – i.e. if you are unlucky enough to be a customer who is subjected to the 10% of longest waiting times.

A consumer advocacy group is investigating customer waiting times and has decided to test the claim that the average waiting time is 7.5 minutes. They place 36 different calls to the organisation and found that the average waiting time was 7.7 minutes.

1. What is the probability that the average waiting time would be 7.7 minutes or more if the organisations claim of 7.5 minutes was true?
2. Using the answer to part d., given the sample average was 7.7 minutes, what does this imply about the companies claim? Explain your answer briefly.

Question Two

A 2023 Youth Insights study of the top causes of stress in students showed that 84% of university students were working while also studying.

1. If a sample of 10 university students was randomly selected, what is the probability that all 10 would be working as well as studying?
2. If a random sample of 100 university students was randomly selected, calculate the probability that the PROPORTIONof students who were also working was less than 75%?

Are you struggling to keep up with the demands of your academic journey? Don't worry, we've got your back! Exam Question Bank is your trusted partner in achieving academic excellence for all kind of technical and non-technical subjects. Our comprehensive range of academic services is designed to cater to students at every level. Whether you're a high school student, a college undergraduate, or pursuing advanced studies, we have the expertise and resources to support you.

To connect with expert and ask your query click here Exam Question Bank