A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105?

MATLAB: An Introduction with Applications
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e)
Suppose that weekly household expenditures on petrol are normally distributed, with a mean
of $120 and a standard deviation of $50.
i.
A family is randomly selected. Find the probability that this family spends more than $245 per
week on petrol?
A 2.5
B 0.0062
C 0.9938
D 0.0202
ii.
The government wants to promote public transport and will award a prize to the families who
spend the lowest amount on petrol. If the government only wants to give a prize to 10% of
households, what is the most that a family is allowed to spend on petrol each week to obtain
the prize?
A $56
B $184
C $3.50
D $217.60
In a sample of 25 families, what is the probability that the average weekly expenditure on
petrol will be less than $105?
ii.
A 0.0668 B 0.9332
C 0.3821
D 0.6179
Transcribed Image Text:e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
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