Question

The Oxford Soup Company recorded the number of rotten tomatoes in each barrel it received. Number of rotten tomatoes Number of barrels 13 7 29 3 56 3 59 2. 99 4 146 3 156 3 X is the number of rotten tomatoes that a randomly chosen barrel had. What is the expected value of X? Write your answer as a decimal.

Answer 1

we get that the expected value is

$\begin{gathered} E(X)=13\cdot\frac{7}{25}+29\cdot\frac{3}{25}+56\cdot\frac{3}{25}+59\cdot\frac{2}{25}+99\cdot\frac{4}{25}+146\cdot\frac{3}{25}+156\cdot\frac{3}{25} \\ E(X)=70.64 \end{gathered}$