2 Atmospheric dust particles around construction sites cause a serious environmental problem. It is assumed that the num

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2 Atmospheric dust particles around construction sites cause a serious environmental problem. It is assumed that the num

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2 Atmospheric Dust Particles Around Construction Sites Cause A Serious Environmental Problem It Is Assumed That The Num 1
2 Atmospheric Dust Particles Around Construction Sites Cause A Serious Environmental Problem It Is Assumed That The Num 1 (30.87 KiB) Viewed 20 times
2 Atmospheric dust particles around construction sites cause a serious environmental problem. It is assumed that the number of particles in a unit volume is Poisson whose parameter , needs to be estimated. In order to do it a small randomly selected portion of the air was observed by focusing a powerful microscope on the particles and making counts. Suppose 50 such samples of air were collected and it gave a total of 456 particles. Find the m.l.e. î of A. (12 pts) 3 A fair coin is tossed 1024 times. Use the Gaussian approximation (the CLT) to find the probability of obtaining more than 544 heads. Explain all of your steps. In particular, identify an underlying r.v. and give its parameters. Why can you use the Gaussian approximation? (25 pts)
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