Question

sophie, an arborist, recorded the heights of all the trees in a local park. x is the height of a randomly chosen tree. what is the expected value of x? write your answer as a decimal.

Explanation:

Step1: Calculate the total number of trees

The total number of trees is \(3 + 1+2 + 4=10\).

Step2: Calculate the weighted sum of heights

The weighted sum is \(317\times3+501\times1 + 727\times2+772\times4\).

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Step3: Calculate the expected value

The expected value \(E(X)=\frac{5994}{10}=599.4\)

Answer:

\(599.4\)