© C1C002S Pages: 3

Reg. No. Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER MCA (REGULAR) DEGREE EXAMINATION, JULY 2017

Course Code: RLMCA105
Course Name: APPLIED PROBABILITY & STATISTICS

Max Marks: 60 Duration: 3 Hours

(Usage of statistical tables permitted.)
PARTA
Answer All Questions. Each question carries 3 marks.

1. State the merits and demerits of mean, median and mode.
State Bayes theorem.
What is meant by random variables?
Define geometric distribution. Write its mean and variance.
Define continuous uniform distribution. Write its mean and variance.
Define conditional probability distributions.

What are the different types of sampling errors?

‎ಜು + PF YN‏ > م

‎State Central Limit Theorem.
PART ए
Answer All Questions. Each question carries 6 marks.
MODULE I

‎9. A number of particular articles have been classified according to their weights. After
drying for two weeks the same articles have again been weighed and similarly
classified. It is known that the median weight in the first weighing was 20.380z, while
in the second weighing it as 17.350z. Some frequencies a and b in the first weighing
and x and y in the second are missing. It is known that a=x/3 and b=y/2. Find the missing

‎frequencies.
‎0-5 | 5-

‎Class
‎Frequency(first weighing) a

‎OR

‎15-20 | 20-25 | 25-30

‎10. For a group containing 100 observations, the arithmetic mean and variance are 8 and

‎10.5 respectively. For 50 observations selected from these 100 observations, the mean

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