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On average, an electronic component lasts six years. The length of time the component lasts is exponentially distributed. (1) The probability that an electronic component

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On average, an electronic component lasts six years. The length of time the component lasts is exponentially distributed. (1) The probability that an electronic component lasts longer than 6 years is (Correct to 2 decimal places) (il) The standard deviation of the length of time the electronic component lasts is (Correct to 2 decimal places) (ill) The probability that a six year old component will last at least 3 more years is (Correct to 2 decimal places) (iv) An improvement to the design of the electronic component meant that 75% of components will last beyond 10 years. The average length of time the new component lasts is years. (Correct to 2 decimal places)

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