The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive...

 

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The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive number of cars entering the tunnel during a brief period of time produces a hazardous situation. Assume that the tunnel is observed during eight two-minute intervals, thus giving eight independent observations Y₁Y₂Y on the Poisson random variable. Find the probability that Y> 4 during at least one of the eight two-minute intervals. (Round your answer to three decimal places.) You may need to use the appropriate appendix table or technology to answer this question. The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive number of cars entering the tunnel during a brief period of time produces a hazardous situation. Assume that the tunnel is observed during eight two-minute intervals, thus giving eight independent observations Y₁Y₂Y on the Poisson random variable. Find the probability that Y> 4 during at least one of the eight two-minute intervals. (Round your answer to three decimal places.) You may need to use the appropriate appendix table or technology to answer this question.