The following table represents the probability distribution of the discrete random variable X.The measure of the random variable x(E(x)) is:Conce17 Accesibilidad: todo correcto79 F X P(X=x)0 0.111 0.192 0.23 0.27關O230.23

Given PMF of X. Now will using this pmf to find required information .

Answered: The following table represents 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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The discrete random variable X has the probability distribution given by: 1 2 3 4 P(X: 3v 2v V 0.4 a. Determine the following probability: P(X=1) = ? Answer in exact fraction or exact decimals b. What is the expected value of the random variable X? Answer in exact fraction or exact decimals c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the expectation of the random variable Y, where Y = 3X – 2 Answer in exact fraction or exact decimals
The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table. P(x, y) 1 2 0.015 0.010 0.025 1 0.030 0.020 0.050 2 0.075 0.050 0.125 3 0.090 0.060 0.150 0.060 0.040 0.100 0.030 0.020 0.050 What is the probability that there is exactly one car and exactly one bus during a cycle? What is the probability that there is at most one car and at most one bus during a cycle? What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) = P(exactly one bus) = - Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three cars. What is the probability of an overflov during a cycle?
Consider the table below gives the probabilities of the distribution of random variable X. Value of X (x) P(X=x) (f(x)) 0 1 2 345 00 6 7 8 0.14 b C 0.10 0.13 0.13 d 0.02 0.01 In reference to the table, suppose that b = f(1) =0.15 and c = f(2)= 0.14. What is the probability P(2 ≤ X<7) equal to ?
The posterior distribution for the random variable e Select one: a. f(x\e) h(e\x) = g(x) b. T(e)f(x\e) g(x) h(e\x) = C. f(x\e) T(e)g(x) h(e\x) = d. g(x)f(x\e) h(e\x) =
The joint probability distribution for the Random variable X and Y is shown below where X = the number of Strawberry ice-cream cones in the freezer Y = the number of Chocolate ice-cream cones in the freezer y p(x, y) 1 2 .025 .015 .010 .050 .030 .020 .075 090 .125 .050 150 060 012
Let X be a random variable with the following probability f(x) = c(1 – 2x2 + x3), x = 0, 1, 2, 3, 4, 5. Find the value of c to make it a probability Establish the probability distribution of X (table). Find the mean of the random variable
There is small parking lot behind a floral shop that has two parking lot spaces.let x be the number of cars parked in the parking lot at midday. the probability distribution of x is given by P(X=x)=4 - x /9 x=0,1,2 contruct the probability distribution table?
The possible values of a discrete random variable X are 0, 1, 3, and 6 with respective probabilities 0.2, 0.3, 0.1, 0.4. Find E[X] and Var(X).
The cumulative distribution function for a random variable X is given by: (1-e for x20 F(x)=- otherwise Compute P (X >2). Select one: a. e4 O b. e-4 О с. -2 С. e O d. 2
Let X be a discrete random variable with PGF P(s) = a. Find the probability distribution of X. b. Derive the mean and variance of X using its PGF.
Let X and Y be 2 random variables with joint probability distribution given in the following table: f(x,y) 1 3 0.3 0.2 Y 4 0.1 0.4 Then f(Y = 3|X = 0) is equal to: a. 0 b. 0.5 c. 0.75 d. 1

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The following table represents the probability distribution of the discrete random variable X. The measure of the random variable x(E(x)) is: