3. let f(x) and F(x) denote respectively the p.d.f and the distributionfunction of the random variable X. The conditional p.d.f of X givenx>xo xo a fixed number is defined by:f(x/x>xo).[1-F(x0)|i. show that f(x/x> xo) is a p.d.f?ii. let f(x) = e*,0 2/x > 1)?

f(x) and F(x) are pdf and cdf of the random variable X respectively.Conditional p.d.f of X is Where,…

Answered: 3. let f(x) and F(x) denote…

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 expected value, E(X), of a uniform random variable X defined over the interval a
If the probability den sity function of a continu ous random variable X is [a+ ba² 0
Choose the correct answer
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X is a discrete random variable with the probability distribution function: k Pr[X = k] 4 1 12 12 2 12 2 4 12 2 5 12 Determine E(X).
Determine the following probabilities: P(X < 0.5, Y < 1.5) and P(X < 0.5) f(x, y) y -2 -1.0 1/3 -0.5 -1 1/6 0.5 1 1/6 1.0 1/3
The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors is as follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 20 The probability that between 3 and 7 automobiles will be sold is, P(3 ≤ x ≤ 7) a 0.852 b 0.869 c 0.887 d 0.905
The probability distribution of a random variable x is as shown in the following table: x -2 1 5 6 P(x) 0.16 ? 0.31 0.21 a)Find P(x=1) b)Find the probability that the random variable x is at most 2. c)Find the probability that the random variable x is at least 1. d)Find P(0<x<1) e)Find P(2<x<6)
The cumulative distribution function F(x) of a random variable X is given in the following table: 1 2 3 F(x) 0.5 b 1 a Let a and b are positive constants. If P(1 3) = 0.3. Then a and b equal to: a=0.1, b=0.3 None of these a=0.1, b=0.7 a=0.5, b=0.8
For each random variable defined here, describe the set of possible values for the variable, and state whether the variable is discrete. (d) X = the length of a randomly selected rattlesnake Describe the set of possible values for the variable. 0, 1, 2, 3, ... 1, 2, 3, ... [0, ∞) (0, ∞) State whether the variable is discrete. discrete not discrete (e) Z = the sales tax percentage for a randomly selected amazon.com purchase, where n = the total number of possible sales tax percentages for online purchases Describe the set of possible values for the variable. z1, z2, z3, ..., zn [0, zn] 1, 2, 3, ..., n [0, n] State whether the variable is discrete. discrete not discrete (f) Y = the pH of a randomly chosen soil sample Describe the set of possible values for the variable. 0, 1, 2, 3, ..., 14 [0, 14] 1, 2, 3, ..., 14 (0, 14] State whether the variable is discrete. discrete not discrete (g) X = the tension (psi) at which a randomly selected…
3. Determine the value c so that each of the following functions can serve as probability distributions of the discrete random variable X: a. f(x) = c(x² +4) for x = 0,1, 2, 3; 3 b. f(x)%3Dс for x= 0,1, 2 3-x
Assume that in a certain company of Muscat the probability of a certain item being defective is 0.06, suppose further that the quality of an item is independent of the quality of another manufactured items. An inspector selected ten items at random. Let a random variable X represents the number of defective items in the sample. How X is distributed? Determine the values of E(X) and Var(X). Find P(X=0),P(X≤1),P(X≥3).

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3. let f(x) and F(x) denote respectively the p.d.f and the distribution function of the random variable X. The conditional p.d.f of X given x> xo xo a fixed number is defined by : f(x/x>xo) = [1-F(Xo)| i. show that f(x/x>xo) is a p.d.f? ii. let f(x) = e,0 2/x > 1)? .