Question: solve the question Exponential random variables also arise when measuring the distance traveled until a certain event occurs, assuming that the event occurs at a

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solve the question Exponential random variables also arise when measuring the distance

Exponential random variables also arise when measuring the distance traveled until a certain event occurs, assuming that the event occurs at a constant rate per distance. For example, if a bee is foraging and stops at owers at a constant rate per meter, then the distance until it stops at a flower would be described by an exponential random variable. Suppose the bee stops on average once every six meters. (a) What is the probability that a bee will travel at least 30 m before stopping? (Round your answer to four decimal places.) 0.0067 (b) What is the variance in distance between stops? 0.0278 x

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