Probability and Statistics (GSDR2109)
Higher Institute of Transport and Logistics (HITL)
Semester: First Semester
Level: 200
Year: 2018
CONTINUOUS ASSESSMENT
LEVEL 100, TIME ALLOWED 1 HOURS 30 mins
PROBABILITY AND STATISTICS
Instructions: Answer all Questions
1) The number of vehicles passing a stationary observer on a road in six intervals is as shown
below. Draw a vertical bar chart and pie chart to represent these
Period of Time: 1 2 3 4 5 6
Number of vehicles: 35 44 62 68 49 41
2) The mass in kilograms, correct to the nearest one-tenth of a kilogram of 60 bar metals are
as sown. Form a frequency distribution of about 8 classes for these. Then draw a
histogram and a frequency polygon and deduce the modal value.
39.8 40.8 40.0 40.0 39.6
39.6 40.2 40.3 40.4 39.8
40.2 40.3 39.9 39.9 40.0
40.1 40.0 40.1 40.1 40.2
39.7 40.4 39.9 40.1 39.9
39.5 40.0 39.8 39.5 39.5
40.1 40.0 39.7 40.4 39.9
40.7 39.9 40.2 39.9 40.0
40.1 39.7 40.5 40.5 39.8
40.8 40.0 40.2 40.0 39.0
39.8 39.7 39.5 40.1 40.2
40.6 40.1 39.7 40.2 40.3
3) i) Find the probability of having a 2 upwards when throwing a fair 6 sided dice
ii) Find the probability of having a 5 upwards when throwing a fair 6 sided dice
iii) Determine the probability of having a 2 and then a 5 on two successive throw of a fair
6-sided dice.
4) The probability that component A will operate satisfactorily for 5 years is 0.8 and that of
B will operate satisfactorily over the same period of time is 0.75. find the probability in a
5 year period:
i) Both components operate satisfactorily
ii) Only component A will operate satisfactorily and
iii) Only component B will operate satisfactorily
REPUBLIC OF CAMEROON
Peace — Work — Fatherland
THE UNIVERSITY OF BAMENDA
HIGHER INSTITUTE OF TRANSPORT AND
LOGISTICS (HITL)
DEPARTMENT OF GENERAL STUDIES
P.O. BOX 39, BAMBILI
REPUBLIQUE DU CAMEROUN
Paix — Travail — Patrie
UNIVERSITE DE BAMENDA
INSTITUTE SUPERIEUR DE
TRANSPORT ET LOGISTIQUE
DEPARTEMENT DES
ENSEIGNEMENT GENERAL
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