ME 776.01 Homework 1
Due September 13, 2011
1. , , ,
(1) Please calculate .
(2) Are events A and B independent?
2. A, B and C are three events. , , . What is the probability that at least one of the t
ME 776.01
Homework 2
1. The probability of a jet fighter surviving an intense combat mission is 0.8, and three
fighters are needed for the success of the mission. How many fighters must be sent on the
ME 776.01
Homework 3
1. Failure times for a randomly failing component are 3.3, 14.1, 26.9, 41.0 and 91.6 hours.
i) Using the median rank tables, plot the Cdf for failure F(t).
ii)
Using the results o
ME 776.01
Homework 2
1. The probability of a jet fighter surviving an intense combat mission is 0.8, and three
fighters are needed for the success of the mission. How many fighters must be sent on the
ME/ECE.IE 776.01
Exam 1
Due October 27th , 2009 in class
1. The failure times for a device are uniformly distributed between 1,000 and
1,500 hours:
a) (10)Find the probability that the device will: i)
Homework 4 Solution
ME 776.01
1.
Find the reliability function for the electric circuit shown below. You can assume that all the
components are identical with constant failure rate. Also, find the MTT
Homework 4
1.
Find the reliability function for the electric circuit shown below. You can assume that all the
components are identical with constant failure rate. Also, find the MTTF if there is no cr
Supplementary Notes for Homework 2
For question 4 in Homework 2, please note that we are using an alternative expression of
the Logarithmic distribution. In this expression:
where and are the paramete
SOLUTIONS
ME/EE/ISE 776.01
Exam 1
October 28, 2008
1.
We are concerned with the reliability level of a new and yet untested launch vehicle. Eighty
percent of the design team believes that the vehicle
Final Exam
ECE 776.01
December 7, 2009- 3:30pm to 5:18pm
1.
Consider the electric circuit shown below. You can assume that all the components are
identical with constant failure rate.
a) Find the reli
Problems discussed in class (September 20)
Problem 1 Assume two random variables X and Y are independent. X follows the
uniform distribution at 0 X 2 and Y follows the uniform distribution at 0 Y 1.
Z
ME 776.01
Homework #3
Solutions
1. Failure times for a randomly failing component are 3.3, 14.1, 26.9, 41.0 and 91.6 hours.
Using the median rank tables, plot the Cdf for failure F(t).
ii)
Using the r
ME 776.01 Homework 1 Solution (Total marks are 85)
1. , , ,
(1) Please calculate . (5 points)
A: ;
Where
And
Thus
(2) Are events A and B independent? (5 pints)
A: From problem (1) we know that ,
On th
Algebra of Events
A, B two events
null event (set)
universal event (set)
The algebra of events is fully dened by the following 5 laws
or axioms:
(1) Co