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The Orionids is an annual meteor shower that appears every October. Under a clear, dark sky,...

The Orionids is an annual meteor shower that appears every October. Under a clear, dark sky, an observer of the Orionids would see an average of 5 meteors per 10-minute period (if the meteors’ emanation point were directly overhead).

A. It’s October and you host an Orionids party on the peak night of the meteor shower. The sky is clear and dark, and the meteors’ emanation point is directly overhead. You and your friends watch the sky for 10 minutes. The probability that you see exactly four meteors is_______

B. The probability that you see more than two meteors while watching the night sky for 10 minutes is______

C. After going inside for a midnight snack, you and your friends go back outdoors for a 15-minute sky-gazing session. The probability that you observe no more than six meteors during this sky-gazing session is__________

D. The number of meteor sightings over 5 minutes has an expected value of______ and a standard deviation of ______ .

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