# Question: Verify the expression given for 2 in the proof of

Verify the expression given for µ'2 in the proof of Theorem 6.5.

## Answer to relevant Questions

Show that the parameters of the beta distribution can be expressed as follows in terms of the mean and the variance of this distribution: (a) (b) Show that the differential equation of Exercise 6.30 with b = c = 0 and σ > 0 yields a normal distribution. In exercise With reference to Exercise 6.39, show that for nor–mal distributions k2= σ2 and all other cumulants are zero. In exercise If we let KX(t) = lnMX – µ(t), the coefficient of tr/r! in the Maclaurin’s series of KX(t) is ...Use the results of Exercise 6.4 to find α3 and α4 for the uniform density with the parameters α and β. If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α = 2 and β = 9, what is the probability that in any given year there will ...Post your question