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3. Suppose that asteroid impacts on the earth are modelled with a Pois- son distribution. Suppose large asteroids (of di
Posted: Sun Sep 05, 2021 5:00 pm
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3. Suppose that asteroid impacts on the earth are modelled with a Pois- son distribution. Suppose large asteroids (of diameter 1km or more) are estimated to impact the Earth once every 500,000 years. Recall that the Poisson distribution predicts the probability of k events when e-lik the event frequency is 1 to be k! (a) What is the probability of more than 1 large asteroid impact in the next 500,000 years? (b) Explain why probability of no 1km impacts in the next 100,000 years is e-1/5 (c) How many years are required for the probability of at least one 1km diameter impact to exceed 50%? The answer can be given to the nearest thousand years.
х o] 2 (2 0 1 4. Let A = 1 B = 03 0 and C= where x, y, z 2 y 0 0 -1 are some unknown real parameters. Calculate AT BA+C2 showing all working.