1. **Problem Statement:** The manager of a children’s puppet theatre has two random variables: the number of adult tickets sold and the number of children’s tickets sold for a Saturday afternoon show. We are given: - Mean adult tickets sold: $\mu_A = 28.3$ - Standard deviation adult tickets sold: $\sigma_A = 5.3$ - Mean children’s tickets sold: $\mu_C = 42.5$ - Standard deviation children’s tickets sold: $\sigma_C = 8.1$ 2. **Understanding the problem:** We have two separate random variables with their means and standard deviations. These describe the average number of tickets sold and the variability around that average. 3. **Formulas and rules:** - The mean ($\mu$) of a random variable is the expected value or average. - The standard deviation ($\sigma$) measures the spread or variability of the data. 4. **Interpretation:** - On average, 28.3 adult tickets are sold with a typical variation of 5.3 tickets. - On average, 42.5 children’s tickets are sold with a typical variation of 8.1 tickets. Since the problem does not ask for further calculations, these are the key statistics describing ticket sales.