Question

Determine if the following are probability distributions (if no, state why)

x= {3,6,9,12,15}

p(x)= {4/9,2/9,1/9,1/9,1/9}

Answer 1

1) $0\le p(x_i)\le1.$

2) $\Sigma_{i=1}^5p(x_i)=1.$

Thus, this is the probability distribution.