The Transactions of the ASME (June 2004) presented a model for predicting daily natural gas consumption in urban areas. A key component of the model is the distribution of daily temperatures in the area. Based on daily July temperatures collected in Buenos Aires, Argentina, from 1944 to 2000, researchers demonstrated that the daily July temperature is normally distributed with and . Suppose you want to use temperature to predict natural gas consumption on a future July day in Buenos Aires.

a. An accurate prediction can be obtained if you know the chance of the July temperature falling below 9°C. Find the probability of interest.

b. Give a temperature value that is exceeded on only 5% of the July days in Buenos Aires.