Question

is the following a probability model? what do we call the outcome \yellow\?
is the table above an example of a probability model?
a. yes, because the probabilities sum to 1.
b. yes, because the probabilities sum to 1 and they are all greater than or equal to 0 and less than or equal to 1.
c. no, because the probabilities do not sum to 1.
d. no, because not all the probabilities are greater than 0.
color probability
red 0.1
green 0.3
blue 0.3
brown 0.2
yellow 0
orange 0.1

Explanation:

Step1: Check probability rules

For a probability model, each probability value must be between 0 and 1 (inclusive), and the sum of all probabilities must equal 1.

Step2: Calculate sum of probabilities

$0.1 + 0.3+0.3 + 0.2+0 + 0.1=1$. Also, all individual probabilities $0\leq0.1\leq1$, $0\leq0.3\leq1$, $0\leq0.2\leq1$, $0\leq0\leq1$.

Answer:

B. Yes, because the probabilities sum to 1 and they are all greater than or equal to 0 and less than or equal to 1