A proposed model uses random digits \(0~\text{through}~9\) and labels \(0~\text{through}~4\) as success for a target probability of \(0.40\). Audit the model, compute its actual probability, and give a corrected success and failure mapping.

Answer choices

Choose your path.

Preview only

The proposed mapping gives 5/10 = 0.40, so it is already valid.

The proposed mapping is valid because every digit is equally likely, even though five digits are labeled success.

The proposed mapping should keep five success digits but repeat draws until a failure occurs.

The proposed mapping gives 5/10 = 0.50, so it is not valid for p = 0.40. Label any four digits, such as 0–3, as success and the other six as failure.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context

Course: Math III
Standard: S-IC.2
Category: Statistics and Probability
Domain: Making Inferences and Justifying Conclusions
Objective: Use simulation to decide whether data are consistent with a proposed model.
Problem type: Map a random device exactly to a probability model