Functions of Random Variables - Method of transformations

Random variable Y that has an exponential distribution with mean equal to 4. U = 3Y+1. Use the method of transformations to derive the density function for U

Functions of Random Variables - The method of distribution functions

see attached, there are 2 short questions in this one

Continuous Random variables, quick question, find C and E(Y) from f(y)

see attached

Multivariate Probability Distributions - Explanation needed

see attached, detailed explanation needed

nCr , nPr , ! (combinations, permutations, factorial problem) A-F

1) Give clearly justified answers to the following... a) How many 7-digit telephone numbers can be formed if the first digit cannot be 0 or 9 and if the last digit is greater than or equal to 2 and less than or equal to 3? Repeated digits are allowed. b) How many different ways are there to arrange the 6 letters of the word CANDLE? c)Tim writes the letters of his name on cards (one letter on each card) and puts them in a hat. He mixes up the cards and randomly picks a card out. He returns the card, mixes them up, and picks another card. He repeats this one more time. What is the probability that he picks the letters of his name (in the correct order)? d)In how many ways can 12 people b... click for more