# Exercise Solution 3.45

- The following exhibit illustrates PDFs of for
*n*equal to 1 through 5.For

*n*= 3, the distribution already has the “bell” shape of a normal distribution, although its tails are modest. For*n*= 4 or*n*= 5, the PDFs could be mistaken for the standard normal PDF. - A normal distribution has a kurtosis of exactly 3. The following exhibit lists the kurtoses of for
*n*= 1 through*n*= 40. All values are rounded to four decimal places. If we round to a single decimal place, the first kurtosis that equals 3.0 is for*n*= 24.