Question

# Q1. Consider the following frequency distribution on count of COVID

19 cases per region in Ghana as of March 12 2020

Regions
Frequency

Greater Accra
Shanti
Central
Other
3981
662
154
330

Can frequency polygon be an appropriate graph to represent this information? Justify your answer
What is the percentage of COVID 19 cases out of Greater Accra region?
If you were to draw a pie chart for this frequency distribution, what would be the angle for other regions?
Q2. Consider the following five summary numbers of a box-plot of the monthly salaries (in Ghana Cedis) of a sample of workers randomly selected from a private company in Ghana
1800, 1740, 1850, 1660, 1700
Derive the values of the lower quartile and the upper quartile
Derive the range between the quartiles
Q3.
Aspect of growth (eight) in children are investigated for three groups of children. The three groups are
Group A: new born babies
Group B: Three - year old children
Group C; Ten -year old children
The following information on weight was derived from each of the group:
Group A: Average weight =3.1kgs, sample variance =0.0529
Group B: Average weight = 16kgs, sample variance=20.25,
Group C; Average weight =35kgs; standard deviation= 1.8
Does the relative variance increase or decrease with age? Justify your answer

Q4. In a faculty of a university, there are twelve (12) senior lectures and eight (8) professors. Five senior lecturers and six professors are male. Let a be the event "selecting a senior lecturer" and B the event of "selecting a female"
If a person is selected find the probability that the selected person is a senior female lecturer
Q9. Consider a set A of students reading the Daily graphic, and the set B of students reading Business Graphic. Based on the following information (where n(A) is the number of elements in set A and A\B is the difference between A and B):
n(A\B) =12; n(b\A) = 20; n(BUA) = 10; (A'UB') = 6
Compute the probability of selecting a student who reads the business graphic?
Compute the probability of selecting a student who reads only Daily Graphic?
Compute the probability of selecting a student who does not read the Daily Graphic
Compute the probability of selecting a student who does not read the Daily Graphic and the Business Graphic?

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