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# MA8402 Question Bank Probability And Queuing Theory

MA8402 Question Bank Probability And Queuing Theory Regulation 2017 Anna University free download. Probability And Queuing Theory Question Bank MA8402 pdf free download.

## Sample MA8402 Question Bank Probability And Queuing Theory:

1. (a) The marks obtained by a number of students for a certain subject is assumed to be normally distributed with mean 65 and standard deviation 5.If 3 students are taken at random from this set Find the probability that exactly 2 of them will have marks over 70? MA8402 Question Bank Probability And Queuing Theory

(b) A bag contains 5 balls and it is not known how many of them are white.
Two balls are drawn at random from the bag and they are noted to be white. What
is the change that all balls in the bag are white? MA8402 Question Bank Probability And Queuing Theory

2. (a) Out of 2000 families with 4 children each , Find how many family would you
expect to have i) at least 1 boy ii) 2 boys iii) 1 or 2 girls iv) no girls MA8402 Question Bank Probability And Queuing Theory

(b) In an Engineering examination, a student is considered to have failed, secured
second class, first class and distinction, according as he scores less than
45%,between 45% and 60% between 60% and 75% and above 75%respectively.
In a particular year 10% of the students failed in the examination and 5% of the
students get distinction. Find the percentage of students who have got first class
and second class. Assume normal distribution of marks.

3. (a) In a certain city , the daily consumption of electric power in millions of
kilowatt hours can be treated as a RV having Gamma distribution with parameters
λ = ½ and k =3.If the power plant of this city has a daily capacity of 12 million
kilowatt – hours, Find the probability that this power supply will be inadequate on
any given day? MA8402 Question Bank Probability And Queuing Theory

(b) Suppose that the life of a industrial lamp in 1,000 of hours is exponentially
distributed with mean life of 3,000 hours. Find the probability that (i) The lamp
last more than the mean life (ii) The lamp last between 2,000 and 3,000 hours (iii)
The lamp last another 1,000 hours given that it has already lasted for 250 hours. MA8402 Question Bank Probability And Queuing Theory

4. (a) Assume that 50% of all engineering students are good in mathematics.
Determine the probabilities that among 18 engineering students (i) exactly 10, (ii)
atleast 10 are good in mathematics. MA8402 Question Bank Probability And Queuing Theory

(b) The life (in years) of a certain electrical switch has an exponential distribution
with an average life of 2. MA8402 Question Bank Probability And Queuing Theory

 Subject name Probability And Queuing Theory Short Name PQT Semester 4 Subject Code MA8402 Regulation 2017 regulation