42% of postmenopausal women have low bone density (osteopenia), placing them at risk for osteoporosis with ensuing spontaneous fractures. Osteoporosis is estimated to cost $14 billion per year in medical expenses alone, and yet it can be prevented if treated early enough. A physicians group has 246 postmenopausal primary patients and has diagnosed 82 with low bone density.
a) Find the probability using the Normal approximation to the binomial distribution.
(Use 4 decimal places.)