9:19 PM Wed Feb 26 \( 25 \% \) Emilio Mejia F... PP. 5 Expected values of random va... Video 49:31 For a social studies project, Isaac counted the number of classrooms in each school in the city. Classrooms per school \[ \begin{array}{llllllllll} 18 & 18 & 18 & 62 & 77 & 77 & 89 & 89 & 89 & 89 \end{array} \] \( X \) is the number of classrooms that a randomly chosen school has. What is the expected value of \( X \) ? Write your answer as a decimal. \( \square \) Submit Next up

To find the expected value of \( X \), you first need to calculate the total number of classrooms across all schools. Adding up the classrooms gives you \( 18 \times 3 + 62 + 77 \times 2 + 89 \times 4 = 54 + 62 + 154 + 356 = 626 \). Then, divide this total by the number of schools (which is 10) to get the expected value: \( \frac{626}{10} = 62.6 \). So, the expected number of classrooms per randomly chosen school is 62.6. Remember, calculating expected values helps in understanding distributions and making predictions! It's often used in finance, gaming, and even in decision-making for businesses! Expectation gives a clear picture of what to anticipate in uncertain situations.