Answer to Question #209916 in Statistics and Probability for Al gortifacion

Question

Find the mean of probability distribution of the random variable X, which can take only the values 2,4,5 and 9, given that P(2) = 9/20, P(4) = 1/20 , P(5) = 1/5 , and P(9) = 3/10

Answer 1

$E(x)=\sum_{\forall x} xP(x)$

$=2(\frac{9}{20})+4(\frac{1}{20})+5(\frac{1}{5})+9(\frac{3}{10})$

$=4.8$