question archive A Canadian importer of MP3 players is concerned about the quality of the players that it is purchasing from Asia

A Canadian importer of MP3 players is concerned about the quality of the players that it is purchasing from Asia

Subject:StatisticsPrice: Bought3

A Canadian importer of MP3 players is concerned about the quality of the players that it is purchasing from Asia. Its Asian supplier claims that its MP3 players have lifetimes that are normally distributed with an average life of 1.6 years and a standard deviation of 0.35 years. The Canadian importer offers a one-year warranty to its customers. If the claims of its supplier are true: (a) What is the probability that one of these MP3 players will last for more than two years?

(b) What proportion of these MP3 players will need repairs or replacements under warranty?

(c) What would the warranty period need to be so that only 3 percent of these MP3 players would need repairs or replacements under warranty?

 If the warranty period was kept at one year, what other parameter changes could be made so that only 3 percent of these MP3 players would need repairs or replacements under warranty?

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