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{"ops":[{"insert":"The service time of the first service of a BMW is found to be normally distributed with a mean of 70 minutes and a standard deviation of 9 minutes.\u00a0\n\u00a0\n(a)\u00a0If a customer brings her BMW in for its first service, calculate the probability that the car will be ready within one hour. Draw sketch of graph to show the area.\u00a0\u00a0\u200b\u00a0\u00a0\u00a0(6)\u00a0\n\u00a0\n(b)\u00a0Calculate the probability that the job will take more than an hour and a half. Draw sketch of graph to show the area.\u00a0\u200b\u200b\u200b\u200b\u200b\u200b\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(5)\u00a0\n\u00a0\n(c)\u00a0What percentage of first services will be completed between 50 and 60 minutes? Draw sketch of graph to show the area.\u00a0\u200b\u200b\u200b\u200b\u200b\u00a0\u00a0\u200b\u00a0\u00a0\u00a0\u00a0(6)\u00a0\n\u00a0\n(d)\u00a0The BMW dealer has a policy to give its customers a 15% discount on the cost of the first service if the service is not completed within 80 minutes. From a sample of 80 customers who brought their BMWs in for the first service how many are likely to receive the 15% discount? Illustrate your answer by sketch.\u00a0\u200b\u00a0\u00a0\u200b\u200b\u00a0\u00a0\u00a0\u00a0(7)\u00a0\n\u00a0\n\u00a0\n"}]}

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