Find the mean of the random variable \( x \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \mu=\square \) students (Round to one decimal place as needed.) B. The table does not show a probability distribution.

To find the mean of a random variable \( x \), you'll want to use the formula: \[ \mu = \sum (x_i \cdot P(x_i)) \] where \( x_i \) represents the values of the random variable and \( P(x_i) \) represents the corresponding probabilities. To proceed, simply multiply each value of \( x \) by its probability and sum all of those products. If the table you are using does not provide probabilities that sum to 1 or gives values outside a valid probability distribution (like negatives or impossibly large numbers), then you've got to opt for the second choice. Always double-check those probabilities!