Solution Found!
Refer to Exercise 4.186. Resistors used in the
Chapter 4, Problem 187SE(choose chapter or problem)
Refer to Exercise 4.186. Resistors used in the construction of an aircraft guidance system have
life lengths that follow a Weibull distribution with \(m=2\) and \(\alpha=10\) (with measurements in thousands of hours).
a Find the probability that the life length of a randomly selected resistor of this type exceeds 5000 hours.
b If three resistors of this type are operating independently, find the probability that exactly one of the three will burn out prior to 5000 hours of use.
Equation Transcription:
Text Transcription:
m=2
=10
Questions & Answers
QUESTION:
Refer to Exercise 4.186. Resistors used in the construction of an aircraft guidance system have
life lengths that follow a Weibull distribution with \(m=2\) and \(\alpha=10\) (with measurements in thousands of hours).
a Find the probability that the life length of a randomly selected resistor of this type exceeds 5000 hours.
b If three resistors of this type are operating independently, find the probability that exactly one of the three will burn out prior to 5000 hours of use.
Equation Transcription:
Text Transcription:
m=2
=10
ANSWER:
Solution:
Step 1 of 2:
The life lengths of resistors used in the construction of an aircraft guidance system follows a weibull distribution with m= 2 and .
We have to find
- The probability that the life length of a randomly selected resistor of this type exceeds 5000 hours.
- The probability that exactly one of three will burn out prior to 5000 hours of use (resistors operating independently).