Question
The scheduling manager of an electricity supply company knows that the number of emergency calls follows a Poisson distribution with an average of 7 calls
The scheduling manager of an electricity supply company knows that the number of emergency calls follows a Poisson distribution with an average of 7 calls per week (7 days)
i. What is the probability that the company will receive exactly 2 emergency calls during a specified week?
A 0.030 B 0.970 C 0.023 D 0.993
ii. What is the probability that there will be at least four emergency calls on a given day?
A 0.173 B 0.918 C 0.996 D 0.019
Question 2
uppose 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
iii. In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105?
A 0.0668 B 0.9332 C 0.3821 D 0.6179
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