1. A V S Engineering College
IMBA
Statistics for Management
Answer all the questions (5*2=10 Marks)
1. Explain the types of Statistics.
2. Define conditional Probability.
3. Explain addition theorem on Probability.
4. Mean of Binomial distribution is 4 and Variance is 6.Comment on it.
5. Write the Axiomatic approval of probability.
Answer any four Questions (4*10=40 Marks)
1. Desire the mean and variance of normal distribution.
2. Calculate descriptive measures for the following:
Height in Inches 50-53 53-56 56-59 59-62 62-65 65-68
No of Student 2 7 24 27 13 3
3. State & prove Baye’s theorem :
A manufacturing firm receives shipments of machine parts from two suppliers A and B.
Currently 65% of parts are purchased from A and the remaining from B. The past record shows that
2% of the parts supplied by A are found defective, whereas 5% of parts supplied by B are defective.
Using Baye’s theorem find the probability that it was supplied by supplier B.
4. Fit a poisson distribution :
No of errors 0 1 2 3 4 5 6
No of accounts 35 40 19 2 0 2 2
5. Two thousand students appeared in an examination. Distribution of marks is assumed to be normal
with mean =30 and standard deviation = 6.25.How many students are expected to get marks
(i) Less than 35
(ii) Between 20 and 40