Question: 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


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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