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BBS611C-BASIC BUSINESS STATISTICS -1ST OPP- NOV 2025 |
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nAmlBIA
unlVERSITY
OF SCIEnCE Ano
TECHnOLOGY
HP-65B
HAROLD PUPKEWITZ
Graduate School of Business
FACULTY OF COMMERCE; HUMAN SCIENCES AND EDUCATION
HAROLD PUPKEWITZ GRADUATE SCHOOL OF BUSINESS
QUALIFICATION: DIPLOMA IN BUSINESS PROCESS MANAGEMENT
QUALIFICATION CODE: 06DBPM LEVEL: 6
COURSE CODE: BBS611C
COURSE NAME: BASIC BUSINESS
STATISTICS
SESSION: NOVEMBER 2025
DURATION: 3 HOURS
PAPER: PAPER I
MARKS: 90
FIRST OPPORTUNITY EXAMINATION -QUESTION PAPER
EXAMINER(S) Mr. A. Roux
MODERATOR: Mr. J. Amunyela
INSTRUCTIONS
1. Answer ALL the questions.
2. Write clearly and neatly.
3. Number the answers clearly.
PERMISSIBLE MATERIALS
I. Examination paper
2. Examination script
3. Scientific calculator
ATTACHMENTS
I. Standard Normal Probability Distribution Table
2. 2 x A4 Graph Sheet
THIS QUESTION PAPER CONSISTS OF 4 PAGES (INCLUDING THIS FRONT
PAGE)
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QUESTION 1
[171
The Council of Churches in Namibia studied the religious affiliation of a thousand
families in the country. The aim was to categorize the families into five religious
categories A, B, C, D and E respectively. The following table shows data that were
collected from a sample of 50 families .
A C E BDC DB DC
D B DE CA D CD E
DCABDCBE CD
BCDCDCEA DC
CBDDBDCE BA
1.1 Construct the frequency distribution for the qualitative data in the table. (5)
1.2 Describe the information that is discerned from the frequency distribution table
about the categories of the rel igious affiliations, in terms of numbers of families
in each category.
(2)
1.3 Construct the relative frequency distribution for the data set.
(2)
1.4 Draw two bar charts, one for the absolute frequency distribution and another
one for the relative frequency distribution on two separate graph sheets. (4x2)
QUESTION 2 r 1s l
The Hillside Bowling Alley manager has selected a random sample of her league
customers. She ask them to record the number of lines they bowl during the month
of December, including both league and open bowling . The reason for her interest in
these data is that she is planning on offering a special discount to customers who
bowl over a specified number of games each month. The sample of eight people
produced the following data:
13 32 12 9 16 17 16 12
2.1 Compute the mean for these sample data.
(3)
2.2 Compute the median for these sample data.
(3)
2.3 Compute the mode for these sample data.
(2)
2.4 Calculate the variance
(6)
2.5 Standard deviation for these sample data.
(2)
2.6 For these sample data, which measure of location provides the best measure
of the center of the data? Discuss.
(2)
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.r
' ,-
QUESTION 3 [15]
The Office of the Registrar at The Namibia University of Science & Technology
revealed some information regard ing salaries for a group of 2000 graduates at
different fields of study.
Low Medium High Totals
Engineering 12 37~
727 1118
Science
39 106
642 787
Business 48 20
57 95
Totals
69 505
1426 2000
3.1 Find the probability of randomly selecting one graduate from this group who
earns a high salary
(3)
3.2 Find the probability of randomly selecting one graduate from this group who
studied Science or Engineering?
(4)
3.3 Find the probability of randomly selecting one graduate from this group who
earns a Low or a Medium salary?
(4)
3.4 What is the chance of randomly selecting one graduate who studied
Engineering, provided that this graduate earns a Medium salary?
(4)
QUESTION 4 [15]
The number of accidents that occur on an assembly line have a Poisson distribution
with an average of three accidents per week.
4.1 Find the probability that a particular week will be accident free.
(4)
4.2 Find the probability that at least three accidents will occur in a week.
(5)
4.3 Find the probability that exactly five accidents will occur in a week.
(4)
4.4 If the accidents in different weeks are independent of each other, find the
expected number of accidents to occur in a year.
(2)
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QUESTION 5
[251
5.1) Consider the random variable with the following probability distribution.
P(x ) = O.lx X = 1 ; 2 ; 3 ; 4.
5.1.1 Express the probability distribution in tabular form
5.1.2 Find the probabilities P(2 ::;; X ::;; 3).
5.1.3 Find the mean, variance and standard deviation of X.
(2)
(2)
(2 + 4 +1 )
5.2 Weekly purchases of petrol at a garage are normally distributed with a mean of
5750 liters and a standard deviation of 2525 liters. What is the probability that in
a given week, the purchases will be :
5.2.1 between 2575 and 6225 liters
(6)
5.2.2 less than 4875
(4)
5.2.3 more than 3760 liters
(4)
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0
01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002
005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003
007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005
009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007
013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010
018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014
025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019
034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026
045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036
060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048
080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064
104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084
136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.Q113 0.Qll0
174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143
222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183
281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233
351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294
436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367
537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455
655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559
793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823
131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170
562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379
814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611
090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867
389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148
709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451
050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776
409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121
783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483
168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859
562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247
960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641
0
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0.00
0.Ql
0.02
0.03
0.04
0.05
0.06
0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636
0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026
0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406
0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454
0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764
0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051
0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315
1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554
1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770
1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962
1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131
1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279
1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406
1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515
1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608
1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686
1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750
2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803
2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846
2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881
2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909
2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931
2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948
2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961
2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971
2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979
2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985
3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989
3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992
3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994
3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996
3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997
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