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A survey showed that 40% of investors invest in at least two companies in order to diversify their risk. Let X be the random variable

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A survey showed that 40% of investors invest in at least two companies in order to diversify their risk. Let X be the random variable denoting the number of investors who have invested in more than one company in a random sample of 300 investors. (i) Determine the distribution of X. [2] (ii) Calculate an approximate probability that X is greater than 100. [2] [Total 4]

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