Problem 2. Suppose the sample space S consists of the four points and the associated probabilities...
Problem 3. The random variable X has density function f given by 0, elsewhere (a) Assuming that 6 0.8, determine K (b) Find Fx(t), the c.d.f. of X (c) Calculate P(0.4 <X < 0.8)
Problem 3. The random variable X has density function f given by y, for 0 ys 0, elsewhere (a) Assuming that θ-0.8, determine K (b) Find Fx(t), the c.d.f. of X (C) Calculate P(0.4 SXS 0.8)
Problem 3. The random variable X has density function f given by 0,elsewhere (a) Assuming that θ-0.8, determine K (b) Find Fx(t), the c.d.f. of X (c) Calculate P(0.4sX s 0.8)
1. Consider a continuous random variable X with the probability density function Sx(x) = 3<x<7, zero elsewhere. a) Find the value of C that makes fx(x) a valid probability density function. b) Find the cumulative distribution function of X, Fx(x). "Hint”: To double-check your answer: should be Fx(3)=0, Fx(7)=1. 1. con (continued) Consider Y=g(x)- 20 100 X 2 + Find the support (the range of possible values) of the probability distribution of Y. d) Use part (b) and the c.d.f....
Please help me solve this question thanks Problem 3. The random variable X has density function f given by 0, elsewhere (a) Assuming that θ 0.8, determine K (b) Find Fx(t), the c.d.f. of X (c) Calculate P(0.4SX 0.8)
A Markov chain {Xn, n ≥ 0} with state space S = {0, 1, 2} has transition probability matrix 0.1 0.3 0.6 p = 0.5 0.2 0.3 0.4 0.2 0.4 If P(X0 = 0) = P(X0 = 1) = 0.4 and P(X0 = 2) = 0.2, find the distribution of X2 and evaluate P[X2 < X4].
b) Find the proDa D111ty distri Dution or the random varıa Die Λ1 + Λ2 on ofr the random varlable A1+A2 Problem 3. The random variable X has density function f given by @y2, for 0 y θ 0, elsewhere a) Assuming that - 0.8, determine K (b) Find Fx(t), the c.d.f. of X C) Calculate P(0.4SX 0.8)
2. A discrete random variable X can be 2, 8, 10 and 20 and its probabilities are 0.3, 0.4, 0.1 and 0.2, respectively. Drive the inverse-transform algorithm for the distribution. 2. A discrete random variable X can be 2, 8, 10 and 20 and its probabilities are 0.3, 0.4, 0.1 and 0.2, respectively. Drive the inverse-transform algorithm for the distribution
suppose X1, X2 is a random sample of size n = 2 from a population distribution. i) compute P(X1=X2) ii) what is the probability that the sample mean is less than 1.5? T 0 1 2 P(x) 0.2 0.5 0.3
Question#3 20 Points Let Y has the density function which is given below: 0.2 -kyS0 f(v) 0.2 + cy 0 0<p 1 otherwise (a) Find the value of c. (b) Find the cumulative distribution function F(y). (c) Use F(y) in part b to find F(-1), F(0), F(1) (d) Find P(0sYs0.5) (e) Find mean and variance of Y d X1 amd 2 aild ate subarea of a fixed size, a reasonable model for (X1, X2) is given by 1 0sx1 S...