FACULTY OF PRE-MEDICAL SCIENCES
DEPARTMENT OF MATHEMATICS
FIRST YEAR SECOND SEMESTER
M 1002: INTRODUCTION TO APPLIED STATISTICS-DECEMBER, 2020.
QUIZ ONE/TEST ONE DEFERRED
INSTRUCTIONS:
1.
Answer all questions.
2.
Full credit will only be given if all working is shown.
TIME: 1HRS 30 MINUTES
TOTAL MARKS 50
QUESTION ONE
a) For the population {a,e,i,o,u,r}
i) List all the simple random samples of size 4.
[2]
ii) ) Give an example of a systematic sample of size 2 where the elements are listed in the
order: a,e,i,o,u ,r
[2]
b) Annual salaries (in thousands of dollars) of four workers are 75, 90, 125, 85,91,75
and 61, respectively. Find
i)
,
and
hence find
[4]
ii) The variance
[3]
iii) Draw a stem and leaf for the annual salaries
[4]
c) State any two axioms (properties) of probability
[2]
QUESTION TWO
a) i) Let A and B be any two events. What is the P(A B) equal to, if A and B are
independent?
(ii) what is P(A B) equal to, if A and B are not mutually exclusive
b) Let T and R be independent events such that (R/T
1
[2]
[3]
= and P(T/R) = ,what is P(R)?[5]
QUESTION THREE
a)
The following table gives the frequency distribution of the number of orders
received each day during the past 50 days at the office of a mail-order company.
Calculate the mean.
Number of orders frequency
10-12
4
13-15
12
16-18
20
19-21
14
=50
i) Find the mean
[4]
ii) Calculate the interquartile range
[5]
iii) Find the median
[2]
b) State whether each of the following is qualitative or quantitative and indicate the
measurement scale that is appropriate for each.
i) Number of heat attacks in the last three months.
[2]
ii) Holiday destinations favored by University students.
[2]
iii) Number of cars owned by families.
[2]
c) The table gives the number of Malaria cases reported by clinics in Lusaka in one
month.
CLINIC
CHILENJE
KABWATA
CHAWAMA
KAMWALA
CHELSTONE
AVONDALE
NUMBER OF MALARIA CASES
27
19
23
56
8
17
(i) How many observations are in this data set?
(ii) How many elements does the data set contain?
(iii) What is the variable in the data set
The End
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