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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
07 THRISSUR CLUSTER
FIRST SEMESTER M.TECH. DEGREE EXAMINATION FEBRUARY 2021
07 MA 6021 MANAGERIAL STATISTICS
(Common for Manufacturing Systems Management, Industrial Engineering and Management & Health Safety
and Environmental Management)
Time:3 hours Max.Marks: 60
Answer all six questions. Part ‘a’ of each question is compulsory.

Answer either part ‘b’ or part ‘c’ of each question
(Any missing data may suitably be assumed.)

Q. No Module 1 Marks
1)8 Find the mean and variance of the random variable X with pdf 4
_ (2 ;01 =| 0 ; Othewise
Answer b orc
109) The time required to assemble a piece of machinery is a random variable 5
having normal distribution with (८ ‏ع‎ 12.9 minutes and 6 = 2.0 minutes.
Find the probability that the assembly of a piece of machinery of this kind
will take (a) at least 11.5 minutes (b) anywhere from 11.0 to 14.8 minutes
1(0) If 0.8% of the fuses delivered to a factory are defective, find the probability 5
that atmost 4 fuses will be defective in a random sample of 400 fuses.
Q. No Module 2
2(a) 4

Find the correlation coefficient and the equations of regression lines for the
following values of x and y

Answer b orc

2(b) From a trivariate data set the following information is available 5