A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of400people who grew up as the only child. She finds that51.5%of them have an IQ score over100. It is known that50%of the general population has an IQ score exceeding100.

(c) Compute an approximation for P (p 0.515), which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.