Probability and Queuing Theory
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POKHARA UNIVERSITY Level: Bachelor Semester – Fall Year : 2010 Programme: BE Full Marks : 100 Pass Mark : 45 Course: Probability and Queuing Theory Time : 3 hrs Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks. Attempt all the questions. 1 . a. Among the 24 invoices prepared by a billing department, 4 contain errors while the others do not. If we randomly check 2 of these invoices, what is the probability that: i. both will contain errors ii. neither will contain error b. Show that for 1,000,000 flips of a balanced coin the probability is at least 0.99 that the proportion of heads will fall between 0.495 and 0.505. 7 8 2 . a. Suppose that the duration of telephone calls follows a distribution with probability density function given by Find the probability that i. P(X>5) 7 1
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Transcript of Probability and Queuing Theory
POKHARA UNIVERSITY
Pokhara University
Level: BachelorSemester FallYear : 2010
Programme: BEFull Marks : 100
Pass Mark : 45
Course: Probability and Queuing TheoryTime : 3 hrs
Candidates are required to give their answers in their own words as far as practicable.
The figures in the margin indicate full marks.
Attempt all the questions.
1.a. Among the 24 invoices prepared by a billing department, 4 contain errors while the others do not. If we randomly check 2 of these invoices, what is the probability that:i. both will contain errors
ii. neither will contain error
b. Show that for 1,000,000 flips of a balanced coin the probability is at least 0.99 that the proportion of heads will fall between 0.495 and 0.505.78
2.a. Suppose that the duration of telephone calls follows a distribution with probability density function given by
Find the probability that
i. P(X>5)
ii. P(3
