A recent study reported that 51?% of the children in aparticular community were overweight or obese. Suppose a randomsample of 500 public school children is taken from this community.Assume the sample was taken in such a way that the conditions forusing the Central Limit Theorem are met. We are interested infinding the probability that the proportion of? overweight/obesechildren in the sample will be greater than 0.47. Complete parts?(a) and? (b) below. . Calculate the probability that 47?% or moreof the sample are overweight or obese.