Show that if v > 2, the chi-square distribution has a relative maximum at x = v – 2. What happens when v = 2 or 0 < v < 2?
Answer to relevant QuestionsProve Theorem 6.1. Theorem 6.1 The mean and the variance of the uniform distribution are given by µ = α + β / 2 and σ2 = 1/12 (β – α)2 Show that if α > 1 and β > 1, the beta density has a relative maximum at Show that the differential equation of Exercise 6.30 with b = c = 0 and σ > 0 yields a normal distribution. In exercise Show that if X is a random variable having the Poisson distribution with the parameter λ and λ → ∞, then the moment-generating function of Z = X – λ / √λ That is, that of a standardized Poisson random variable, ...A point D is chosen on the line AB, whose midpoint is C and whose length is α. If X, the distance from D to A, is a random variable having the uniform density with α = 0 and β = α, what is the probability that AD, BD, ...
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