Based on the relevant binomial distribution, answer the following questions about X, the number of American workers who say job stress caused frequent health problems: What is the probability that X is at least 15?

Relevant binomial distribution

A survey conducted for the Northwestern National Life Insurance Company revealed that 70% of American workers say job stress caused frequent health problems. Suppose a random sample of 20 American workers is selected.

Based on the relevant binomial distribution, answer the following questions about X, the number of American workers who say job stress caused frequent health problems: What is the probability that X is at least 15? Round your answer to 3 decimal places