Answer to Question #179081 in Statistics and Probability for ade

Question

 Find the mean of the probability distribution of the random variable X if P(X) = (2X-1)/10 for X=1,2,3,4, and 5

Answer 1

We subsitute $X$ and receive: $P(X=1)=1/10;\quad P(X=2)=3/10;$

$P(X=3)=5/10$; $P(X=4)=7/10;\quad P(X=5)=9/10.$

As we can see, it is not a distribution, since the sum of all probabilities is greatet than 1. E.g., $P(X=4)+P(X=5)=16/10>1.$