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4. A company tells you that their light bulbs last two years on average, with an exponential distribution. a. If they are correct, what is the probability that the light bulb will last between three and four years? b. What is the probability that the light bulb will last one year or less? c. If the light bulb lasts eight years, should you be surprised? (Is the probability of this event less than five percent?) Does it seem like the company might be wrong about their light bulbs? Explain. Write about the difference between one and two tailed distributions.
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