15 Relative Frequency And Probability Examples And Worksheets - Maths Quest General Maths Preliminary Course Page 6
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309
A study of cricket players found that of 150 players, 36 batted left handed. What is the
MC
relative frequency of left-handed batsmen?
A
0.24
B
0.36
C
0.64
D
0.76
10
During an election campaign, 2000 people were asked for their voting preferences. One
thousand and fifty said that they would vote for the government, 875 said they would vote for
the opposition and the remainder were undecided. What is the relative frequency of:
a
b
c
government voters?
opposition voters?
undecided voters?
11
Research over the past 25 years shows that each November there is an average of two wet days
on Sunnybank Island. Travelaround Tours offer one-day tours to Sunnybank Island at a cost of
$150 each, with a money back guarantee against rain.
a
What is the relative frequency of wet November days as a percentage?
b
If Travelaround Tours take 1200 bookings for tours in November, how many refunds
would they expect to give?
12
An average of 200 robberies takes place each year in the town of Amiak. There are 10 000
homes in this town.
a
What is the relative frequency of robberies in Amiak?
b
Each robbery results in an average insurance claim of $20 000. What would be the minimum
premium that the insurance company would need to charge to cover these claims?
13
A car maker recorded the first time that its cars
WE 3
came in for mechanical repairs. The results are in the
table below.
Time taken
No. of cars
0–3 months
5
3–6 months
12
6–12 months
37
1–2 years
49
2–3 years
62
more than 3 years
35
The assembly line will need to be upgraded if the relative frequency of cars needing
mechanical repair in the first year is greater than 25%. Determine if this will be necessary.
14
For the table in question
13
determine, as a percentage, the relative frequency of:
a
a car needing mechanical repair in the first 3 months
b
a car needing mechanical repair in the first 2 years
c
a car not needing mechanical repair in the first 3 years.
15
A manufacturer of shock absorbers measures the distance that its shock absorbers can travel
before they must be replaced. The results are in the table below.
No. of kilometres
No. of shock absorbers
0–20 000
1
20 000–40 000
2
40 000–60 000
46
60 000–80 000
61
80 000–100 000
90
The relative frequency of the shock absorber lasting is 0.97 for a certain guaranteed distance.
What is the maximum distance the manufacturer will guarantee so that the relative frequency
of the shock absorbers lasting is greater than 0.97?
484
Maths Quest General Maths Preliminary Course
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