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Sta 104: Probability And Statitistics Question Paper

Sta 104: Probability And Statitistics

Course:Bachelor Of Education Science

Institution: Masinde Muliro University Of Science And Technology question papers

Exam Year:2012

Masinde Muliro University of Science and Technology (MMUST)

Course Title: Probability and Statistics

First year Second semester

Course code: STA 104

Time: 1 HOUR

CAT 1

INSTRUCTION TO CANDIDATES
Answer ALL questions.

1. Differentiate between harmonic mean and geometric mean by briefly explaining how each of these measures central tendency is used in Statistics (6marks)

2. What is variance? Clearly explain its advantages and disadvantages as a measure of dispersion. (3marks)

3. The data below shows a frequency distribution table

Class 1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100
Frequency 3 2 2 12 9 2 5 1 3 1

Calculate the:
i) Arithmetic Mean, harmonic mean and geometric mean. (6marks)
ii) Mode and Median. (4marks)
iii) 1st. 2nd and 3rd quartiles. (5marks)
Plot a box and whisker diagram for the above data
Comment with reasons, on the symmetry of the distribution (2marks)

4. Let A and B be two events, such that P (A) = 2/5, P (A/B) = 1/3 and P (B/A) = 1/2
i) Find P (A^B); P (B); P (A: B) and P (A/B)
ii) State with reasons whether A and B are mutually exclusive. (2marks)
iii) State with reasons whether A and B are independent. (2marks)

Sta 104: Probability And Statitistics Question Paper

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