# Question: Verify that the integral of the beta density from

Verify that the integral of the beta density from – ∞ to ∞ equals 1 for

(a) α = 2 and β = 4;

(b) α = 3 and β = 3.

(a) α = 2 and β = 4;

(b) α = 3 and β = 3.

**View Solution:**## Answer to relevant Questions

Show that if α > 1 and β > 1, the beta density has a relative maximum at Show that the normal distribution has (a) A relative maximum at x = µ; (b) Inflection points at x = µ – σ and x = µ + σ. If we let KX(t) = lnMX – µ(t), the coefficient of tr/r! in the Maclaurin’s series of KX(t) is called the rth cumulant, and it is denoted by kr. Equating coefficients of like powers, show that (a) k2 = µ2; (b) k3 = ...If X and Y have a bivariate normal distribution and U = X + Y and V = X – Y, Find an expression for the correlation coefficient of U and V. The number of bad checks that a bank receives during a 5-hour business day is a Poisson random variable with λ = 2. What is the probability that it will not receive a bad check on any one day during the first 2 hours of ...Post your question