Use probability distribution Use the probability distribution to complete parts (a) and (b) below.The number of defects per 1000 machine parts inspectedDefects012534Probability 0.2650.2860.245 0.1540.037 0.013Complete the table for x-values from 0 to 3. Use μ = 1.5.XOT 23P(x)0.2650.2860.2450.50.1541.5(Round to three decimal places as needed)022X-μ (x-μ)² (x-μ)²p(x)- 1.52.2500.596-0.51INF

Answered: Use the probability distribution to…

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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Question

Use probability distribution

Use the probability distribution to complete parts (a) and (b) below.
The number of defects per 1000 machine parts inspected
Defects
0
1
2
5
3
4
Probability 0.265
0.286
0.245 0.154
0.037 0.013
Complete the table for x-values from 0 to 3. Use μ = 1.5.
XOT 23
P(x)
0.265
0.286
0.245
0.5
0.154
1.5
(Round to three decimal places as needed)
0
2
2
X-μ (x-μ)² (x-μ)²p(x)
- 1.5
2.250
0.596
-0.5
1
INF

Expert Solution

Step 1

Introduction

In the given scenario, the machines were inspected. They counted the number of defects per 1000 machine parts. The distribution showed the number of defects and their respective probabilities. The defects ranged from 0 to 3 and the sum of all probabilities is equal to one. The mean defect value is given which is 1.5 ( $μ = 1.5$ ). We need to complete the table for the given number of defects (X) using the discrete probability distribution.