Question

determine whether the distribution is a discrete probability distribution. if not, state why.

choose the correct answer below.
a. no, because the probabilities do not sum to 1.
b. no, because the probabilities must all be between 0 and 1 inclusive..
c. yes, the distribution is a discrete probability distribution.
d. no, because 0 is not an acceptable value for a discrete random variable.

Explanation:

Step1: Check probability - range condition

All the probabilities \(P(x)\) values \(0.2\) are between \(0\) and \(1\) inclusive.

Step2: Check sum - of - probabilities condition

Sum the probabilities: \(0.2+0.2 + 0.2+0.2+0.2+0.2=1.2
eq1\)

Answer:

A. No, because the probabilities do not sum to 1.