An athlete who is training for a marathon aims to complete many laps of a running track while running at a constant speed. In practice, the athlete’s judgement of pace is not perfect, and the time taken to complete a randomly chosen lap may be taken to be normally distributed with a mean of 65 seconds and standard deviation of 0.8 second. The time taken for any lap may be assumed to be independent of the time taken for any other lap. (a) What is the probability that a randomly chosen lap will take more than 64 seconds? (b) What is the probability that each of three randomly chosen laps will take more than 64 seconds? (c) The probability that the athlete will complete a randomly chosen lap in less than x seconds is 0.99. Find x

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Q: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A:

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A:

Q: e monthly utility bills in a city are normally​ distributed, with a mean of ​$100   and a standard…

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A:

Q: he monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A: Let X be the monthly utility bills in a city are normally distributed with mean μ=$100 and standard…

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Q: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A:

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A:

Q: Find the probability that the average amount paid by the sample of households exceeds $50.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.