# Question

If a random variable X has a uniform density with the parameters a and β, find its distribution function.

## Answer to relevant Questions

Karl Pearson, one of the founders of modern statistics, showed that the differential equation Yields (for appropriate values of the constants a, b, c, and d) most of the important distributions of statistics. Verify that ...If X is a random variable having a normal distribution with the mean µ and the standard deviation s, use the third part of Theorem 4.10 on page 128 and Theorem 6.6 to show that the moment– generating function of Z = X ...Show that when α → ∞ and β remains constant, the moment-generating function of a standardized gamma random variable approaches the moment-generating function of the standard normal distribution. 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, ...If the annual proportion of new restaurants that fail in a given city may be looked upon as a random variable having a beta distribution with α = 1 and β = 4, find (a) The mean of this distribution, that is, the annual ...Post your question

0