Question 1 (20 points, Poisson or not Poisson): Monthly
Notices of the Royal Astronomical Society published that a total of 20 kg
asteroids hits the earth per day. (a) (5 Pts.) By using Poisson distribution,
determine the probability of getting 5 kg of asteroids in 4 hours? (b) (5 Pts.)
Determine the probability in Part (a) by using an appropriate continuous
distribution (c) (5 Pts.) If we define random variable X as the time required
for 0.5 kg of asteroids hitting the earth, determine the PDF of X (d) (5 Pts.)
Now determine the probability in Part (a) by using the PDF you determined in
Part (c).

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