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Suppose the time arrival between two consecutive defective light bulbs from a production line has a uniform distribution over an interval from 0 to 90 minutes. a) What is the mean of the time interval? b) What is the variance of the time interval? c) What is the standard deviation of the time interval? d) What is the probability that the time interval between two consecutive defective light bulbs will be less than 10 minutes? e) What is the probability that the time interval between two consecutive defective light bulbs will be between 10 and 20 minutes? f) What is the probability that the time interval between two consecutive defective light bulbs will be between 10 and 35 minutes? g) What is the probability that the time interval between two consecutive defective light bulbs will be at least 50 minutes? h) What is the probability that the time interval between two consecutive defective light bulbs will be at least 80 minutes? i) What is the probability that the time interval between two consecutive defective light bulbs will be at least 90 minutes?
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