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10. Calculate standard deviation from the following data:

Marks − 10-20 20-30 30-40 40-50 50-60 60-70

No.of
students

MODULE II

11. A committee of four has to be formed from among 3 economists, 4 engineers, 2

statisticians and 1 doctor.

1) What is the probability that each of the four professions is represented on the

committee?

ii) What is the probability that the committee consists of a doctor and atleast one

economist?
OR

12. In aclass of 75 students, 15 were considered to be very intelligent, 45 as medium and the
rest below average. The probability that a very intelligent student fails in a viva-voice
examination is 0.005; the medium student failing has a probability 0.05; and the
corresponding probability for a below average student is 0.15. If a student is known to

have passed the viva-voice examination, what is the probability that he is below average?
MODULE III

13. A die is tossed twice. Getting ‘a number greater than 4" is considered as success. Find the
mean and varience of the probability distribution of the number of success,
OR

14. Fit a binomial distribution to the following data:

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