••••o Ooredoo 11:43 AM l 100%1 15* mybb.qu.edu.qa Ci Stat 312: Practice Test for the final Exam Ql. Assume that all items have reliability of 0.70. Calculate the reliability of the entire systems. Ao...

••••o Ooredoo 11:43 AM
l 100%1 15*
mybb.qu.edu.qa
Ci
Stat 312: Practice Test for the final Exam
Ql. Assume that all items have reliability of 0.70. Calculate the reliability of the entire systems.
Ao
•B
Q2. 1031 Joe replaced two lightbulbs, one of which is rated 60 wafts with an expo-nentially distributed lifetime whose mean is 200 hours and the other is rated 1111/ welts with an exfmnennally distributed lifetime whose mean is 100 hours.
a. bulb? is Me probability that the 60-watt bulb fails before the 100-waft
b. What is the mean time until the first of the two bulbs fails, c. Given Mat the 60-watt bulb has not failed after . hours, what is the probability that it will last at least anoMer 100 hours,
Q3. :c) Consider a DTMC on slate space 2,31 with the transition matrix
0 I 0 P= [5 0 .5]. 0 I 0
(i). Draw the transition diagram —