[Solution Library] In the United States, about 60% of the defendants are found guilty in criminal trials. (Source: The Book of Risks , by Larry Laudan, John
Question: In the United States, about 60% of the defendants are found guilty in criminal trials. (Source: The Book of Risks , by Larry Laudan, John Wiley and Sons). Suppose you are a news reporter following 12 criminal trials in the USA.
- What is the expected number of guilty verdicts? That is, find the mean number of guilty verdicts for this group of 12 trials.
- Calculate the standard deviation for this distribution.
- Calculate the probability that fewer than half of the cases will result in guilty verdicts. That is, find the probability that fewer than 6 of the defendants will be found guilty.
- Calculate the probability that at least one of the trials results in a guilty verdict.
- In Japanese criminal trials, about 95% of the defendants are found guilty. (Source: The Book of Risks , by Larry Laudan, John Wiley and Sons). If you are following 7 criminal trials in Japan, what is the probability that 5 of them result in guilty verdicts?
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