**NATIONAL OPEN UNIVERSITY OF NIGERIA**

**14/16, AHMADU BELLO WAY, VICTORIA ISLAND, LAGOS**

**SCHOOL OF MANAGEMENT SCIENCES**

**MARCH 2014 EXAMINATION**

** **

**Course Code: PSM 823 Credit Units: 2**

**Course Title: OPERATIONS RESEARCH AND STATISTICS**

**Time Allowed: 2 Hours**

**Instructions:**

**Attempt Question 1 and any other two (2) Questions.****Question 1 is compulsory and carries 30 marks while the other 2 Questions carry 20 marks**

** each.**

** **

**1a.**Define statistics

**1b.**Explain how to write a good questionnaire

**1c.** Distinguish between the following and give two examples of each:

i. Numeric and non numeric data

ii. Discrete and continous data

iii. Ordinal and continous data

**2a.** Explain tyes of sampling.

**2b.** In a survey of 50 *PG *students of the Charted Institute of Shipping where the ratio of

female to male is 10:40, draw a sample of 15 students using stratified sampling method.

- The number of births recorded in each of the 50 maternity centres, in Surulere Local

Government in October 2002, is as follows.

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**Table**

50 | 99 | 81 | 86 | 69 | 85 | 93 | 63 | 92 | 65 |

77 | 74 | 76 | 71 | 90 | 74 | 81 | 94 | 67 | 75 |

95 | 81 | 68 | 105 | 99 | 68 | 75 | 75 | 76 | 73 |

79 | 74 | 80 | 69 | 74 | 62 | 74 | 80 | 79 | 68 |

79 | 75 | 75 | 71 | 83 | 75 | 80 | 85 | 81 | 62 |

**Required **

Construct a frequency distribution table using the interval-45-54, 55-64, etc.

** **

- Discuss the following:

i. skewness and kurtosis

ii. Axiomatic Probability

iii. Permutation and Combination

iv. Sample space

v. Independent event

** **

**5a. **What are the Characteristics of a binomial random variable?

**5b. **List seven (7) typical examples of random variable for which Poisson distribution

provides good model.

**5c.** Procedure for Hypothesis Testing.

**You can get the exam summary answers for this course from 08039407882**

Check the sample below