Scores on a certain test follow the normal curve with an average of 1350 and a standard deviation of 120. What percentage of test takers score below 1230? (Use the empirical rule.) 16%, 1230 is one ...

The normal distribution is a good approximation of the binomial when either n is very large or p is close to 0.5. However, when neither of those conditions are met, the binomial is skewed. The ...

The normal approximation to the binomial test with and without a continuity correction is evaluated in terms of control of Type I errors and power. The normal approximations are evaluated as robust ...

We give error bounds which demonstrate optimal rates of convergence in the CLT for the total covered volume and the number of isolated shapes, for germ-grain models ...

Where \(X\) is a normally distributed random variable with mean \(\mu\) and standard deviation \(\sigma\). The peak of the curve occurs at \(x=\mu\), and the spread ...