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Question 5 The average lifetime of a certain type of rechargeable battery is 3.5 years with a standard deviation of 1.5 years. From past experience,

Question 5

The average lifetime of a certain type of rechargeable battery is 3.5 years with a standard deviation of 1.5 years. From past experience, the lifetime of a rechargeable battery is known to be normally distributed.

a.) What is the probability that a randomly selected rechargeable battery will have a lifetime less than 5.5 years?

b.) What is the probability that a randomly selected rechargeable battery will have a lifetime of between 1.0 and 2.0 years?

c.) If the manufacturer wishes to repair at most 10% of the rechargeable battery produced free of charge, what should the guarantee period be set?

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