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 theim is real? Answer: 2. Given that you have already identified 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 news stories. (please put in an integer)
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 theim is real? Answer: 2. Given that you have already identified 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 news stories. (please put in an integer)
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 18T: You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 300...
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Transcribed Image Text: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:
2. Given that you have already identified 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
news stories. (please put in an integer)
Vanguard Asset Management offers 20 mutual funds in total. 70% of these funds have positive
returns every year. You choose 6 funds out of these 20 funds at random to invest in. What is the
probability that at least 3 funds of the 6 funds you picked will have positive return next year?
Coronavirus Mortality Rate is estimated to be 0.2%, or 1 death every 500 people. (Number of
death cases has Poisson distribution).
1. What is the probability that a town of 50000 people has 115 death cases? Answer:
2. If a city of 500,000 has less than 911 deaths, the statement that this city has managed the
because
Coronavirus situation better than average can be considered: (No answer given)
the probability that less than 911 deaths in a city of 500,000 is
(Please give your answer with the accuracy of four decimal places here.)
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