11.

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and standard deviation are 10 and 2 respectively. Calculate the values of mean and
standard deviation for the other half.
MODULE II

The probability that a lab specimen contains high levels of contamination is 0.10. Five

samples are checked and the samples are independent.

a) What is the probability that none contains high level of contamination?

b) What is the probability that at least one contains high levels of contamination?

12.

13.

14.

15.

16.

OR
A company has 3 plants to manufacture 8,000 scooters in a month. Out of 8,000
scooters, Plant I manufactures 4,000 scooters, Plant 11 manufactures 3,000 scooters and
Plant 111 manufactures 1,000 scooters. At plant I, 85 out of 100 scooters are rated of
standard Quality or better; Plant II only 65 out of 100 scooters are rated Standard quality
or better and at Plant III, 60 out of 100 scooters are rated of standard quality or better.
What is the probability that the scooter selected at random came from (a) Plant I (b)
Plant 11 (0) Plant 111, if the scooter is of standard quality.

MODULE 111

Assume that half of the population is vegetarian so that the chance of an individual
being a vegetarian is 14. Assuming that 100 investigators each take a sample of 10
individuals to see whether they are vegetarians, how many investigators would you
expect to report that 3 people or less were vegetarian?

OR
A firm has two cars which it hires out day by day. The number of demand for a car on
each day is distributed as a Poisson distribution with mean 1.5. Calculate the proportion
of days in which a) neither car is used b) some demand is refused.

MODULE IV

The average income of an officer is Rs.15000, standard deviation is Rs.5000. If there
are 242 officers drawing salary above 18500, how many officers are there in the
company?

OR
Time taken by the crew of a company to construct a small bridge is a normal variate
with mean 400 labour hours and standard deviation of 100 labour hrs. a) What is the
probability that the bridge gets constructed between 350 to 450 labour hrs? 9) If the

company promises to construct the bridge in 450 hrs or less and agrees to pay a penalty

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