Question

is the following a probability model? what do we call the outcome \yellow\? color probability red 0.1 green 0.3 blue 0.3 brown 0.2 yellow 0 orange 0.1 no, because not all the probabilities are greater than 0. what do we call the outcome \yellow\? a. unusual event b. certain event c. impossible event d. not so unusual event

Explanation:

Step1: Check probability - model criteria

A probability model has probabilities for all outcomes that are non - negative and sum to 1. The sum of the given probabilities is \(0.1 + 0.3+0.3 + 0.2+0+0.1=1\), and all probabilities are non - negative. So it is a probability model.

Step2: Analyze the outcome "yellow"

The probability of the outcome "yellow" is \(P(\text{yellow}) = 0\). An event with a probability of 0 is called an impossible event.

Answer:

It is a probability model. C. Impossible event