There is a coin that is flipped a total of 500 times; a sample of 50 flipped coins are taken from the population and the number of heads in the 50 samples are counted. This process is repeated (N) times and the mean of the sample distribution is (24.9) heads, the variance of the sampling distribution is (3.42). Additionally, the confidence interval for estimating the probability (p) of obtaining a head in a coin flip is to be from (0.4716) to (0.5244). Determine the number of trials (N), or the number of times the 50 samples must be taken to obtain the given confidence interval when estimating the probability of heads in a coin flip.