Business Statistics 2 Questions

BBA Management - MGT

Semester: First Semester

Level: 300

Year: 2016

HIGHER INSTITUTE OF COMMERCE AND MANAGEMENT(HICM)

COURSE: BUSINESSSTATISTICS II CODE: MGSC 211 2015/2016 EXAMINATIONS

Part I: (35 marks) Lecturer: Dr . U.E. Jumbo

Instructions-: answer all the questions. Stat each exercise on a new page

Exercise 1: (09 marks)

A committee of five is chosen by drawing lots front a group of eight women. Determine the probability

that the committee contain exactly thee men.

Exercise2: (09 marks')

A notorious gang of outlaws contains five, gunfighters, Smith, four called Jones and one called Cassidy.

In a gunfight, three of the gang are killed. Assuming that each gun fighter had the same probability of

being killed, what is the probability that the three killed in the gunfight all had different names?

Exercise 3: (10 marks)

The random variable X can only take the values 2 and 5. Given that the value 5is twice as likely as the

value 2, determine the expectation of X.

Exercise 4: (07 marks)

Determine the expectation of the random variable X, which has probability distribution given below

Value of X 0 1 2 3

Probability 0.3 0.4 0.2 0.3

Part II: (35 marks) Lecturer: Dr Dobdinga C.F

Question one . (10 marks)

A crime has just been committed leading two the arrest of two individual .After the court Judgement. the

individual who did not commit the crime is imprisoned while the criminal is released, due to lack of

evidence; .

State the hypotheses used by the judge before the judgement begins

Explain the two types of statistical; errors involved in-the-judgement

Question two (15 marks)

The marks of 10 students in the 2015/2016 statistics tests are distributed, as:23; l8; 17; 20; 25; 19; 17;

24; 2b; 22. Based on the. results of previous years the average mark earned is SO: Use a 5% level of

significance to verify whether in 2015/2016 the students performed better than in the previous years. (CV

= 1.83)

Question three (10 marks)

a) List and explain three properties of estimators

b) Two distances are measured with means given as 27.3m and(15.6m with standard deviation of 0.16.

arid 0.08 respectively. Determine, the mean and standard deviation the difference in the two statistics.

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