at random to invest in. What is the probability that at Inst 3 funds of the \\((6}\\) funds you picked will have positive return next year? MIT researchers have found that fake news spreads more rapidly on Twitter than real news does. A study shows that 70% of the news stories on twitter are false. Assume you read 10 news stories today. each news story is chosen independently. 1 . What is the probability that only one of them is real? Answer: I: 2. Given that you have already identied at least 7 fake news, what is the probability that all the 10 news stories you read today are false? Answer: : 3. in order to be at least 90% sure that you read MORE than 3 real news stories today, you should read at least i: news stories. (please put in an integer)