Let x_bar 10,000 be the fraction of heads in 10,000 tosses.
use chebyshev's inequality to bound p(|x_bar - 0.5|> or = .01) and the normal approximation to estimate this probability.
the answers in the book are that the chebyshev's inequality is bounded by 1/4 and the normal approximation is .0455

If you are just building your payment history, how many points from a perfect score will you possibly miss?

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Adistribution has the five-number summary shown below. what is the third quartile, q3, of this distribution? 22, 34, 41, 55, 62