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The lifespan of batteries produced by a manufacturer is distributed according to a normal distribution with...

The lifespan of batteries produced by a manufacturer is distributed according to a normal distribution with an average duration of 110 hours and a standard deviation of 10 hours.

a) What proportion of the batteries produced will last more than 120 hours?

(b) The warranty accompanying the batteries states that if a battery lasts less than ''K'' hour, the manufacturer will replace it. What should be the value of ''k'' if the manufacturer does not want to replace more than 5% of the batteries sold?

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