Final answer:
The question aims to determine the probability of a sample mean exceeding a certain value, but lacks sufficient information for calculation. Typically, the Central Limit Theorem and z-scores would be used, but the provided data is incomplete and contains typos.
Step-by-step explanation:
The question is asking for the probability that the mean childhood asthma prevalence for a sample of 33 cities is greater than 25% given that the mean percent of asthma prevalence in 43 cities is 20.5% and the standard deviation (σ) is 13.7%. To find this probability, one would typically use the Central Limit Theorem (CLT) and z-scores as part of a hypothesis testing framework. However, there is not enough information provided to calculate the z-score as we do not have the actual sample mean of the 33 cities. Additionally, the value of 20.5% is incorrectly written as 205% in the initial part of the question, which should be rectified to 20.5%. Given these circumstances, it's not possible to provide the exact probability without the corrected and additional necessary information.