In an article on FlurryBlog, a gaming marketing gap for men between the ages of 30 and 40 is identified. You are researching a startup game targeted at the 35-year-old demographic. Your idea is to develop a strategy game that can be played by men from their late 20s through their late 30s. Based on the article's data, industry research shows that the average strategy player is 28 years old with a standard deviation of 4.8 years. You take a sample of 100 randomly selected gamers. If your target market is 29- to 35-year-olds, determine the probability for men whose mean age is between 29 and 35 years of age wanting to play a strategy game.

For the answer, round to the 3rd decimal place. For example: 0.000