Researchers published a study in which they considered the incidence among the elderly of various mental health conditions such as dementia, bi polar disorder, obsessive compulsive disorder, delirium and alzheimer's disease. In the U.s. 45% of adults over 65 suffer from one or more of the conditions considered in the study.
Calculate the probability that fewer than 320 out of the n=750 adults over 65 in the study suffer from one or more of the conditions under consideration.