Cholesterol is a type of fat found in the blood. It is measured as a concentration: the number of milligrams of cholesterol found per deciliter of blood (mg/dL). A high level of total cholesterol in the bloodstream increases risk for heart disease. For this problem, assume cholesterol in men and women follows a normal distribution, and that "adult man" and "adult woman" refers to a man/woman in the U.S. over age 20. For adult men, total cholesterol has a mean of 188 mg/dL and a standard deviation of 43 mg/dL. For adult women, total cholesterol has a mean of 193 mg/dL and a standard deviation of 42 mg/dL. The CDC defines "high cholesterol" as having total cholesterol of 240 mg/dL or higher, "borderline high" as having a total cholesterol of more than 200 but less than 240, and "healthy" as having total cholesterol of 200 or less. A study published in 2017 indicated that about 11.3% of adult men and 13.2% of adult women have high cholesterol. Use this scenario for problems 1 - 8. In a study of 45 randomly selected adult men, the number who have high cholesterol is counted. (Assume that 11.3% of men have high cholesterol.)

What is the probability that at least 10 of these 45 men will have high cholesterol?

Give a decimal, not a percent. Round your answer to four decimal places.