Question
Use the probability distribution to complete parts (a) and (b) below.The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4
Use the probability distribution to complete parts (a) and (b) below.The number of defects per 1000 machine parts inspected
Defects | 0 | 1 | 2 | 3 | 4 | 5 | |
---|---|---|---|---|---|---|---|
Probability | 0.267 | 0.295 | 0.243 | 0.138 | 0.045 | 0.012 |
Find the mean, variance, and standard deviation of the probability distribution.
The mean is
enter your response here.
(Round to one decimal place as needed.)
Part 2The variance is
enter your response here.
(Round to one decimal place as needed.)
Part 3- The standard deviation is
enter your response here.
(Round to one decimal place as needed.)
Part 4(b) Interpret the results. The mean is
enter your response here,
so the average batch of 1000 machine parts has
at least 2 defects.
1 or 2 defects.
no defects.
The standard deviation is
enter your response here,
so the typical number of defects in a batch of 1000
deviates from the mean by more than 2 defects.
does not deviate from the mean.
deviates from the mean by about 1 defect.
deviates from the mean by about 2 defects.
(Round to one decimal place as needed.)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-text-image.webp)
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Step: 3
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started