Sampling Distributions, Summing Random Variables, Binomial Distribution, and Geometric Distributions
Bottled v. Tap Water
Each student will taste test three glasses of water (2 tap, 1 bottled). Students will choose which one is bottled water. By chance alone, students have a 1/3 chance of choosing the correct glass. The binomial distribution indicates that the probability of 5 out 9 students choosing correctly is around .05. Binomial (9,1/3,5). This is unlikely, therefore some students are likely able to distinguish bottled water from tap.
Sampling Distributions Activities
Casino Labs
Airline Overbooking
Fair Coin Binomial Probabilities
Slides from TPS Chpt 6
Khan Academy - Binomial Coefficient
Permutations
Combinations
Monty Hall Problem
PhET Plinko Simulation Activity
*The normal distribution can approximate the normal.