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1 , According to the Law of Large Numbers, O social media can not predict what a single individual will do, but has high probability

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1 , According to the Law of Large Numbers, O social media can not predict what a single individual will do, but has high probability of knowing what a large number of individuals will do. O the behavior of a large number of individuals mimics the random behavior of a single individual O Var ( X) the limit, as sample size goes to infinity, of goes to 1. ESuppose we have a set of independent and identically distributed random variables X1, X2, ...... , X\We take a random sample of 1000 days in the life of Rabindranath. For each day, we track the number ofjunk emails received that contained the word "join me in this venture.\" The frequency histogram indicating the number of messages with that characteristic per day, in the horizontal axis, and the number of days in which that number of messages were observed, in the vertical axis, is given below. By how much, approximately, does the empirical probability of receiving less than two messages differ from what the true probability would be if the number of messages received was Poisson()\\ =3) (approximately). Assume in the histogram that if X is 2, the number of days with 2 messages will be counted in the bar that goes from 2 to 4, not in the bar that goes from 1 to 2. Choose closest answer. 0 0.2509 approximately 0 0.85 approximately 0 80 approximately 0 0.0002 approximately

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