Please explain and how to do it ? Thank you so much!!
Please explain and how to do it ? Thank you so much!! Problem 4. If X...
Show all working clearly. Thank you. 1. In this question, X is a continuous random variable with density function (x)a otherwise where ? is an unknown parameter which is strictly positive. You wish to estimate ? using observations X1 , . …x" of an independent random sample XI…·X" from X Write down the likelihood function L(a), simplifying your answer as much as possi- ble 2 marks] i) Show that the derivative of the log likelihood function (a) is 4 marks]...
Let X be an exponential random variable with parameter 1 = 2, and let Y be the random variable defined by Y = 8ex. Compute the distribution function, probability density function, expectation, and variance of Y
lambda=.4 please show all steps!! as detailed as possible, thank you so much for your time Let Yi, Y2, ..., Yso be a sequence of exponentially distributed random variable with parameter λ=.4 , and Y-31/40, Find P(Y<2) 40
Hi! Please help me on this question #41. Thank you so much! (by giving the p.m.f. or p.d.f.) whose the cumulative distribution function F(t) satisfies F(n) = 1 - 1 for each positive integer n. Exercise 3.41. We produce a random real number X through the following two- stage experiment. First roll a fair die to get an outcome Y in the set {1,2,...,6}. Then, if Y = k, choose X uniformly from the interval (0, k]. Find the cumulative...
Simple Probability Question, Please explain with details, thank you so much. Suppose that the cumulative distribution function of the discrete random variable X is given by x V < 0 1L F(x) = { 1 +71 051 x < 2 1 VI Find P{X = 1}, P{X = 2}, P{X = 3} o 1, 11,1 OZ, ÉS 0 ];j; oh, o 12 Find P (} < X < ;) оооо Consider the following two functions S c(2x – 2y) 0...
2) (Difficult problem: i don't expect that people can solve it) Let X be a exponential variable with parameter λ 2, Now, we have a unbiased coin. We throw it. If we get tall, we take the number X. If we get head we take 3 times X. The result is called Z. What is the probability density of Z. (Read up about the probability density of exponential variable online). So, in other words, we generate a random number X...
Problem 3 (Needed for Problem 4) A continuous random variable X is said to have an exponential distribution, written Exp(X), if its probability density function f is such that le- if > 0 10 if x < 0 f(0) = 0 where > 0 is a real number. 1. Compute the mean of X 2. Compute the variance of X 3. Compute the cumulative distribution function F of X. Use this to show that for any real numbers s and...
Let X and Y be independent random variables which are exponential with parameter lambda= 1, so then each has probability density function equal to f(x) = exp(-x) when x > 0, and zero otherwise. Compute the probability density function of X + Y . Show detailed explanations and reasoning for each step.
Please show how did you came up with the answer, show formulas and work. Also, please do Parts e to i. Thank you so much 1. Consider the following probability mass function for the discrete joint probability distribution for random variables X and Y where the possible values for X are 0, 1, 2, and 3; and the possible values for Y are 0, 1, 2, 3, and 4. p(x,y) <0 3 0 4 0.01 0 0 0.10 0.05 0.15...
Hi, please help me with this exercise, please explain me step by step and please write with very very good calligraphy. Thank you very much. * From an urn containing 4 white balls and 3 black balls 3 balls are removed with replacement. Following this, a coin is thrown as many times as black balls have been removed and the amount of heads obtained is evaluated. We define X as the random variable that represents the quantity of black balls...