15 Relative Frequency And Probability Examples And Worksheets - Maths Quest General Maths Preliminary Course Page 5

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EXERCISE
Relative frequency
15a
1
At the opening of the ski season, there has been sufficient snow for skiing for 37 out of
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the past 50 years. Calculate the relative frequency of sufficient snow at the begin ning of the ski
season.
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SkillSHEET 15.1
2
A biased coin has been tossed 100 times with the result of 79 Heads. Calculate the relative
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frequency of the coin landing Heads.
Converting
3
3
Of eight Maths tests done by a class during a year, Peter has topped the class three times.
fractions
to decimals
Calculate the relative frequency of Peter topping the class.
4
Farmer Jones has planted a wheat crop. For the wheat crop to be successful, farmer Jones
needs 500 mm of rain to fall over the spring months. Past weather records show that this has
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occurred on 27 of the past 60 years. Find the relative frequency of:
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a
b
suffi cient rainfall
insuffi cient rainfall.
SkillSHEET 15.2
5
5
Of 300 cars coming off an assembly line, 12 are found to have defective brakes.
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WE 2
Calculate the relative frequency of a car having defective brakes. Give the answer as a
Converting
decimals to
percentage.
percentages
6
6 6
A survey of 25 000 new car buyers found that 750 had a major mechanical problem in the first
year of operation. Calculate the relative frequency of:
a
having mechanical problems in the fi rst year
b
not having mechanical problems in the fi rst year.
7
On a production line, light globes are tested to see how long they will last. After testing 1000
light globes, it is found that 960 will burn for more than 1500 hours. Wendy purchases a light
globe. What is the relative frequency that the light globe will:
a
burn for more than 1500 hours?
b
burn for less than 1500 hours?
8
Four surveys were conducted and the following results were obtained. Which result has
MC
the highest relative frequency?
A
Of 1500 P-plate drivers, 75 had been involved in an accident.
B
Of 1200 patients examined by a doctor, 48 had to be hospitalised.
C
Of 20 000 people at a football match, 950 were attending their fi rst match.
D
Of 50 trucks inspected, 2 were found to be unroadworthy.
483
Chapter 15
Relative frequency and probability

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