The failure data for 40 electronic components is shown below:

Question

Operating Time (in hours)	0-5	5-10	10-15	15-20	20-25	25-30
Number of Failures	5	7	6	4	5	4
Operating Time (in hours)	30-35	35-40	40-45	45-50	≥50
Number of Failures	4	0	2	1	2

Estimate the reliability, cumulative failure distribution, failure density and failure rate functions.

08 Sep 2023

Answer :

Word Count : 520

To estimate reliability, cumulative failure distribution, failure density, and failure rate functions, we'll use the given failure data for electronic components. We can start by calculating the reliability, cumulative failure distribution, failure density, and failure rate for each time interval. Then, we'll summarize these values for each interval.

1. Reliability (R(t)):
Reliability is the probability that a component will survive beyond a given time t. It can be calculated as the complement of the cumulative failure distribution function.

$\small \[ R(t) = 1 - F(t) \]$

Where:
- $\small $R(t)$$ is the reliability at time t.
________ _________ ________ ______ __________ __________ _______ ________ _______ ______ __________ _______.
________ ____ ___ __________ ____ ______ ____.
____ ____ _______ __________ ____ __________ __________ ________ ___ ________ ___.
____ ____ ______ __________ _______ _______ ___ ________ _________ _____ _______.
________ ______ __________ ____ ________ ______ __________ ______ _________ _______ ___ _____.
_________ ______ ___ ____ _____.
__________ ______ ______ ___ _________ ________ __________ ___.
_______ _________ _____ ______ __________ _______.
_________ _________ _____ _________ _________ ________ _______ ____ _______ _________.
___ __________ ________ __________ __________ __________ _______.
_____ ___ ____ __________ ____.
__________ _________ _________ __________ __________ _________ ____ __________ ________ _____ __________ _____.
______ ______ ____ _____ __________ ______.
_________ ______ _______ ______ ____ _______ ___ ________ ______ _____.
____ _______ ____ _______ ________ ______ _____.
____ ______ ____ ____ ________ ______ ______ _____ ___.
_______ __________ _______ ________ __________ _________ _______ ___ ____ _____ ____ ____.
___ ________ __________ ____ __________ ______ ______ _________ _____ __________ ________ _______.
_____ _____ _________ _____ ________.
___ _________ ________ ________ _______ _________ _____ __________ __________ _______ _____ ______.
_____ __________ __________ __________ _______ ____ _____ _________.
___ ____ _____ __________ _______ _____ ______.
_______ ____ ________ ______ ______ ____.
___ ________ ___ _________ ____ _________.
_____ ______ ___ ________ _______ _________ ________ _____ __________ ___.
_________ ________ _______ _______ ____ ______ ____ ___.
___ ___ ______ ________ ____ _____ _________ ____ _____ _________ ___.
__________ ______ _________ __________ __________ ____ _________ _____ ________ _____ ____.
__________ _________ ____ ________ __________ _________ __________ __________ __________.
___ _____ ___ _____ ____ _________ ______.
__________ _____ ___ __________ _______ __________ ____ _______ ___ ___ _______.
______ _________ ______ ______ _______ _____ ______ ____ _________ __________ _____ ________.
_________ _______ _________ _____ _______ ____ ____ ________ _______ ________ ___.
____ __________ ________ ___ _______ ______ ________ ___.
___ ________ ____ ___ _____ _________ ______.
_____ ___ _________ ______ ____ ___ __________ __________ ________ _______ ________ ______.
__________ ______ ________ ______ ________ __________ ________ _____.
__________ ________ _______ ___ ___ ________.
______ ________ ____ __________ ________ ______ ________.
_______ ___ __________ ____ ______.
____ ______ _______ ____ _______.
________ __________ _______ _______ ____ _____ ____ _________.
________ ___ ___ _____ ___ _______ ________ ________ ____.
___ ________ ___ ________ ______ ____ ____.
______ ________ _______ _______ ____ _____ ________ ________ ___ ______.
______ _____ ________ __________ _______ ________ ____ ___ ____.
__________ ____ __________ ____ ____ ________ _____ ________ ________.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★

Operating Time (in hours)	0-5	5-10	10-15	15-20	20-25	25-30
Number of Failures	5	7	6	4	5	4
Operating Time (in hours)	30-35	35-40	40-45	45-50	≥50
Number of Failures	4	0	2	1	2