Question

Which experiment has a non-uniform probability model? Select two answers. A. Tossing a fair coin one time B. Randomly guessing the answer to a question on a multiple choice test that has four answer choices for each question C. Spinning a spinner with sections that are different sizes D. Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble E. Spinning a spinner on which all sections are the same size

Answer 1

Answer:

C and D

Explanation:

A uniform probability model is a probabilistic model characterized by a uniform probability density function, or uniform distribution.

In common language, a uniform probability distribution means that all possible outcomes in the probability space have the same probability of occurrence.

So:

- A fair toss of coin every possible outcome (H,T) has probability 0.5. It is modeled by by a uniform discrete distribution.

- Randomly selected answer to an MCQ with four options would have probability of success 0.25 for every MCQ. It is modeled by by a uniform discrete distribution.  

- Spinning a spinner with sections that are different sizes, each section would have different probabilities proportional to the coverage area on the. It is modeled by a non-uniform discrete distribution

- Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble. Each successive time a red marble is drawn the probability decreases. Hence, non uniform distribution.

- Spinning a spinner on which all sections are the same size. Each section would have similar probabilities proportional to the coverage area on the. It is modeled by a uniform discrete distribution .