Let [math]S[/math] be the number of heads in 1,00,00 tosses of a fair coin. Use (a) Chebyshev's inequality, and (b) the Central Limit Theorem, to estimate the probability that [math]S[/math] lies between 499,00 and 500,00. Use the same two methods to estimate the probability that [math]S[/math] lies between 499,00 and 501,00, and the probability that [math]S[/math] lies between 498,00 and 501,00.