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A gas supplier maintains a team of engineers who is available to deal with leaks reported by customers. The time taken to deal with reported

A gas supplier maintains a team of engineers who is available to deal with leaks reported by customers. The time taken to deal with reported leaks is found to be normally distributed with a mean of 65 minutes and standard deviation of 60 minutes. Find the probability that i. the team will take more than 185 minutes to deal with the reported leak. (3 marks) ii. the team will take between 50 minutes and 125 minutes to deal with a reported leak. (3 marks) iii. the mean time taken by the team to deal with a random sample of 90 reported leaks is less than 70 minutes

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