In your initial post, you will solve a problem that involves conditional probability, first using “no replacement” and second using “with replacement”. You will be using the Packaging variable from your LEGO dataset.
Instructions – Initial Post
Use Statkey (https://www.lock5stat.com/StatKey/index.html) in any browser and click on One Categorical Variable. Click UPLOAD FILE and upload the CSV file you created last week. Choose the Packaging variable and display the Bar Graph and Summary Statistics. Video: https://youtu.be/LDIng0_H7PM
Determine the relative frequency (proportion) of LEGO sets in your sample that are contained in a “Box”. For example, in this sample, 32 out of 50 sets are contained in a Box (32/50, 0.64, or 64%):
Be sure to show us your Summary Statistics.
Case 1. No Replacement. Suppose you pick THREE sets at random from your sample WITHOUT replacement. Compute the probability that you will pick three sets in Boxes. (Show your work)
Case 2: With Replacement. Suppose you pick THREE sets at random from your sample WITH replacement. Compute the probability that you will pick three sets in Boxes. (Show your work)
Compare and contrast the two scenarios. Which one is more likely? Is it a big difference?