How would we start with finding the conditional distribution of (x1, x3)T? We are given the info that x2 = 5 The random vector x =T(x₁, x2, x3) has multivariate distribution4 1(0)·(9):9).11 4 12014Find the conditional distribution of (x₁, x3) given that x2 = 5.N

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Answered: How would we start with finding the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Q#4. Let X have a binomial distribution with 07 and p = Determine P(X = 1), P(X=;), P(X = 3), P(X = 6) and P(X < 2). %3D Note: Where R is the last digit of your registration number Solution#4 (to be typed here by the student)
If the number of random sleigh sightings x follows a Poisson distribution with a mean = 1.7, then find the probability of x sightings. Find P(x = 4).(Round to four decimal places.)P(x = 4) =
2
a Deline the following terms as used in survival analysis (eft rensoring (i) Informative censoring ThaVbeg cendng n hich ue (b) Let the event of interest be contracting lung cancer. The lung cancer hazard rate for an d - Cato what 3nd male Imoker is gven ty (e)=0.027 +0.00025(-40),xz 40 Assuming that a 40-year old nale smoker is still alive at his age S0, tetermine the pritability that he survives to age 50 without contracting lung cancer?
Q3. Exponential Distribution has a memoryless property. Intuitively, it means that the probability of customer service answering you call (assuming waiting time is exponential) in the next 10 mins is the same, no matter if you have waited an hour on the line or just picked up the phone. Formally, if X ∼ exponential(λ), f(x) = λ exp(- λx), and t and s are two positive numbers, use the definition of conditional probability to show that P(X > t + s | X > t) = P(X > s).Hint: Find the cdf of X first, and note that P(X > t + s Ç X > t) = P(X > t + s)
NT #3 For each of the following, answer whether the distribution of X is necessarily normally distributed (YES) or not (NO), and briefly explain why. a) X = the sample mean age for random samples of size n = 50 from the population of New Yorkers of non-working age (defined as below 18 or above 64). b) X = the sample mean age for random samples of size n = 10 from the population of New Yorkers of non-working age (defined as below 18 or above 64). c) X = the sample mean age for random samples of size n = 10 from a population of individuals whose ages are known to be normally distributed.
1. Answer the following questions using the probability tree below: .2 .3 X .3 .8 a Y (a) What is the value of z? (b) What is the probability of X occurring? (c) What is Pr[Xa] (Note: Pr[Xa] = Pr[X and a].) (d) What is Pr[X_or a]? (e) What is Pr[a|X]? (f) What is Pr[c]?
Explain the steps if you can
A box has 3white(W) balls,2 black (B) balls and 4 red(R) balls. Two balls were drawn successively from this box (i) with replacement/ (ii) without replacement. Let X=the number of white balls drawn and let Y=the number of black balls drawn.
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