Probability of Rainfall in a Given Month

In a certain city, the monthly rainfall is normally distributed with a mean of 3 inches and a standard deviation of 1 inch. A local environmental agency is looking to analyze the rainfall data for the past year to assess the probability of receiving less than 2 inches of rain in a given month.

To perform this analysis accurately, the agency wishes to calculate the z-score for a rainfall of 2 inches and then find the corresponding probability using the standard normal distribution table.

Calculate the probability that a randomly selected month will have less than 2 inches of rain and express your answer in decimal form, rounded to four decimal places. Provide your answer in the grid.