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ALBEDO SCHOOL OF BUSINESS MANAGEMENT

M.B.A Examination

THIRD SEMESTER

QUANTITATIVE TECHNIQUES – I  Maximum Marks: 100

Section A – (5 x 15 = 75 marks)

1. a. Define mutually exclusive events and give an example of mutually exclusive events.
b. Two candidates A and B appear in an interview for two vacancies in the same post. The probability of A being selected is 1/7 and that of B being selected is 1/5. What is the probability that
i. both of them will be selected,
ii. only one of them will be selected,
iii. none of them will be selected .

2. a. State the classical definition of probability.
b. Five men in a company of 20 are graduates. If 5 men are picked at random from the 20 persons, what is the probability that
i. all are graduates
ii. at least one is a graduate
iii. no one is a graduate

3. If 10% of the items produced by an automatic machine are defective, find the probability that of 20 items selected at random, there are (i) exactly  2 defectives   (ii)  at most 3 defectives
(iii) at least 2 defectives
Also find the mean and variance of the defective items.

4. a. Differentiate an estimator from an estimate and briefly explain the criteria for a good estimator.
b. Seven homemakers were randomly sampled , and it was determined that the distances they walked in their housework had an average of 39.2 miles per week and a sample standard deviation of 3.2 miles per week. Construct a 95 percent confidence interval for the population mean.
5. a. Define a hypothesis and state the procedure of hypothesis testing.
b. A machine produced 20 defective articles in a batch of 400. After overhauling it produced 10 defectives in a batch of 300. Can it be concluded that the machine has improved?

Section B (1×25 = 25…