Question

The failure data of 10 electronic components are shown in the table given below:

Failure Number 1 2 3 4 5 6 7 8 9 10
Operating Time (in hours) 3 5 31 51 76 116 140 182 250 302

Estimate, the
i) reliability.
ii) cumulative failure distribution. 
iii) failure density. 
iv) failure rate functions.  

29 Feb 2024
Answer :
Word Count : 482
We will solve this numerically step by step using the given failure data. Failure Data: | Failure Number \(i\) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |----------------------|---|---|---|---|---|---|---|---|---|----| | Operating Time \(t_i\) (hours) | 3 | 5 | 31 | 51 | 76 | 116 | 140 | 182 | 250 | 302 | ### (i) Reliability Function \( R(t) \) Reliability is the probability that a ___ _________ _____ ________ _______ ________.
________ _________ ____ _____ ____ ____.
________ ________ ___ _______ ___.
__________ _______ ___ _________ _____.
__________ __________ _______ ________ ____ ___ _________ __________ ________ __________ _______ ________.
______ __________ ______ _______ ____ ______ ___ ________ _________ ________.
________ _______ ___ _____ _____ _________.
______ ________ _________ ____ ________.
_________ _______ ______ ________ _________ ____.
____ ___ _________ ___ _________.
_______ ___ _________ _________ ____ _______ _____ ______.
____ _____ ____ _______ ________ ______ ______ ___ _________ _____.
__________ _____ ______ ______ _______ _______ ______ _____.
________ __________ ____ _______ ________ __________ __________ __________ ____ ___.
___ ___ _______ __________ __________ _________ ___ ___ ___ ______.
______ ________ ___ ________ ______.
_________ ___ ______ _________ ____ ________ ________ ___.
_________ ______ _______ __________ ________ ____ ____.
________ ______ ______ ___ __________ _________ ___ _____ _________.
_________ _____ ____ _____ ______ ______ _______.
_______ _______ _______ ____ _______.
________ __________ ___ ______ ____ ___ ________ ______.
______ ___ _____ ___ _____ __________ ______ ___ ___ ____.
______ _______ ____ ___ _____ ____ ______ ___ __________ _______ ____ _____.
______ __________ ________ _________ _____ __________ ______ ________ ________ __________ ___ _________.
_________ _____ _______ ____ ____.
____ ___ ___ _______ _____ _____ ____ __________.
___ ____ ________ __________ __________.
____ __________ _________ ________ ____ _______ __________ ____ __________ ___ ________.
______ _______ ________ __________ ___.
_____ _________ _________ ____ _____ _______ __________ ____ _____ ________ ____ ___.
______ _________ ________ __________ __________ ________ _______ __________ ____ _____ ___.
_____ _________ ____ _____ ________ _________ __________ _________.
____ ____ ___ ____ ________ ___.
___ _______ _________ ___ _________ _____ _______.
_________ _________ ____ ____ _________.
_______ _______ ____ ___ _______ ______ _________ __________ _____ _____ _____ _______.
_________ ________ ________ ______ _____.
___ _________ _____ ______ ____ _______ _____ ______ _______ _________ ____ ____.
____ ___ ____ ________ _____ ________.
___ _____ _______ ___ ______ ________ _____.
__________ _________ _________ _______ ______ _________ ____ ____ _________.
_____ ____ ____ ________ ______ ____ __________.
__________ ________ ____ __________ ____ _________ _____ _________ _______ ___ ______ ______.
_________ ___ ______ _______ _________ ____.
________ _____ _________ __________ ____ _________ _________ _____ ________ ______ _____.
_____ _________ ___ _______ _________ ______ ___ _____ _____ _______ __________.
______ ____ ___ __________ ______ ____.
____ ___ _________ ______ ___.
___ ________ ________ ____ _______ __________ _____ __________ ______ _________.
_______ ____ ______ ________ _______.
Get Full Answer on WhatsApp
Related Questions

The failure density function of a random variable T is given by
f(t) = \begin{Bmatrix} 0.011e^{-0.011t} &, t \geq 0 \\ 0 & , otherwise \end{Bmatrix}

Calculate, the
i) reliability of the component. 
ii) reliability of the component for a 100 hour mission time.
iii) mean time to failure (MTTF). 
iv) median of the random variable T. 
v) life of the component, if the reliability of 0.96 is desired

To monitor the manufacturing process of mobile phones, a quality controller randomly selected 100 mobile phones from the production line, each day over 15 days. The mobile phones were inspected for defectives and the number of defective mobile phones found each day was recorded. The data are given below:

Subgroup Number Number of Mobile Phones Inspected Number of Defective Mobile Phones
1 100 3
2 100 6
3 100 4
4 100 6
5 100 20
6 100 2
7 100 6
8 100 7
9 100 3
10 100 0
11 100 6
12 100 15
13 100 5
14 100 7
15 100 6

i) Determine the trial centre line and control limits for the fraction defective using the above data. 
ii) Contract the control chart on graph paper and determine that the process is stable or not.
If there is any out-of-control point, determine the revised centre line and control limits.

The failure data of 10 electronic components are shown in the table given below:

Failure Number 1 2 3 4 5 6 7 8 9 10
Operating Time (in hours) 3 5 31 51 76 116 140 182 250 302

Estimate, the
i) reliability.
ii) cumulative failure distribution. 
iii) failure density. 
iv) failure rate functions.  

The system shown below is made up of ten components. Components 3, 4 and 5 are not identical and at least one component of this group must be available for system success. Components 8, 9 and 10 are identical and for this particular group it is necessary that two out of the three components functions.

Image ignouassignments-ignouacademy-com--p-electronic-36592

What is the system reliability if R1 = R3 = R5 = R7 = R9 = 0.85 and R2 = R4 = R6 = R8 = R10 = 0.95

Solve the two-person zero-sum game having the following payoff matrix for player A:

  Player B
B1 B2 B3 B4 B5
Player A A1 3 4 5 –2 3
A2 1 6 –3 3 7

A small electronic device is designed to emit a timing signal of 200 milliseconds (ms) duration. In the production of this device, 10 subgroups of four units are taken at periodic intervals and tested. The results are shown in the following table:

Subgroup Number Duration of Automatic Signal (in ms)
a b c d
1 195 201 194 201
2 204 190 199 195
3 195 197 205 201
4 211 198 193 180
5 204 193 197 200
6 200 202 195 200
7 196 198 197 196
8 201 197 206 207
9 200 202 204 192
10 203 201 209 192

  i) Estimate the process mean and standard deviation.

ii) Determine the centre line and control limits for the process mean and process variability.

iii) By plotting the charts on graph paper, determine that the process is stable or not with respect to the process mean and process variability. If necessary, compute revised control limits

A shirt manufacturing company supplies shirts in lots of size 250 to the buyer. A single
sampling plan with n = 20 and c = 1 is being used for the lot inspection. The company and the buyer decide that AQL = 0.04 and LTPD = 0.10. If there are 15 defective in each lot,
compute the
i) probability of accepting the lot. 
ii) producer’s risk and consumer’s risk. 
iii) average outgoing quality (AOQ), if the rejected lots are screened and all defective shirts are replaced by non-defectives. 
iv) average total inspection (ATI). 

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers
Login Cart
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★
Top
📞
Call Support Instant phone assistance The failure data of 10 electronic components are shown in the table gi
→
🟢
WhatsApp Chat Fast live messaging
→
Email Us Business enquiries & support
→