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Math 0022: Probability And Statistics Question Paper

Math 0022: Probability And Statistics

Course:Certificate In Bridging Mathematics

Institution: Chuka University question papers

Exam Year:2013

CHUKA

UNIVERSITY

UNIVERSITY EXAMINATIONS
EXAMINATION FOR THE AWARD OF
CERTIFATE IN BRIDGING MATHEMATICS

MATH 0022: PROBABILITY AND STATISTICS

STREAMS: BRIDGING TIME: 2 HOURS

DAY/DATE: FRIDAY 9/8/2013 2.30 PM – 4.30 PM
INSTRUCTIONS:

• Answer Question ONE and any other Three
• All working must be clearly shown.

Question One (30 Marks)

(a) Explain the following terms as used in statistics

(i) A sample space [2 marks]

(ii) A quantitative continuous variable [2 marks]

(iii) An element [2 marks]

(b) Distinguish the following terms by giving relevant examples

(i) A sample and an experiment [4 marks]

(ii) A questionnaire and a census [4 marks]

(c) From the data given below find the

(i) Mean square deviation [3 marks]

(ii) Coefficient of variation [3 marks]

X 20 23 44 38 52 46 50 34 56 66
frequencies 2 2 4 5 7 10 6 3 1 1

(d) Briefly describe interview and observation methods of data collection used in statistics. Clearly outline their advantages and disadvantages. [6 marks]

(e) State and briefly explain two uses of statistics in the field of education. [4 marks]

Question 2 (10 Marks)

The table below shows marks earned by 40 students of Bachelor of Commerce in MATH 201

25 44 32 59 75 28 82 78
47 84 37 73 64 67 72 80
56 34 48 34 27 74 81 33
62 70 85 30 47 58 65 71
66 69 34 58 40 34 88 73

(a) Form a table by putting the data in groups e.g. 20 – 29. 30 – 39. Etc [2 marks]

(b) Calculate

(i) Mean [2 marks]

(ii) Median [2 marks]

(iii) Mode [2 marks]

(iv) Standard deviation [2 marks]

Question 3 (10 Marks)

(a) Bata Shoes Company has tendered for two independent contracts. It estimates that it has probability 0.6 of obtaining contract B and 0.5 of obtaining contact A. Find the probability that the firm;

(i) Obtains both contract [2 marks]

(ii) Obtains at least one contract [2 marks]

(iii) Obtains exactly one contract [2 marks]

(b) Differentiate between discrete probability and continuous probability using relevant examples. [4 marks]

Question 4 (10 Marks)

The table below shows the frequency distribution table for milk (Kg) sales of 50 farmers of Kericho County.

Milk (kg) 20 – 24 25 – 29 30 – 34 35 -39 40 – 44 45 – 49 50 -54
No. of farmers 2 4 8 20 10 5 1

Draw a cumulative frequency graph and answer the following questions [3 marks]

(i) Find the percentage of farmers who sold more than 42 kg [2 marks]

(ii) Estimate the median [2 marks]

(iii) Find the range of kilograms sold in the middle 40% of the distribution [3 marks]

Question 5 (10 Marks)

A bag contains 4 yellow and 5 black pencils. Three pencils are to be picked one after the other

(a) With replacement
Find the probability that

(i) At least two pencils picked are black [2 marks]

(ii) Only one pencil picked is yellow [2 marks]

(b) Without replacement
Find the probability that

(i) At most two pencils are black [3 marks]

(ii) The three pencils are of the same colour [3 marks]

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Math 0022: Probability And Statistics Question Paper

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