You may calculate the answers of the following questions using the equations in your textbook for the appropriate probability distribution function. (You will need to read the questions first to determine the appropriate distribution.) However, you may also determine these answers by using the Distributions tool. Select the appropriate distribution from the dropdown box in the upper left-hand corner. Set the parameters accordingly, and select the radio button in the lower left-hand corner depending on whether you want the probability of a single outcome (left) or a cumulative probability (right). 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). Select a Distribution Distributions 0 1 2 3 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 two meteors is The probability that you see more than five meteors while watching the night sky for 10 minutes is Select the appropriate distribution in the tool below to help answer the following questions. (Note: You will need to read the questions first to determine the appropriate distribution.) Select a Distribution Distributions 0 1 2 3 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 nine meteors during this sky-gazing session is The number of meteor sightings over hour has an expected value of and a standard deviation of