3. [-/15 Points] DETAILS MENDSTAT15 4.5.004.MI. MY NOTES PRACTICE ANOTHER When an experiment is conducted, one and only one of three mutually exclusive events S1, S2, and S, can occur, with P(S) 0.4, P(S2) = 0.5, and P(S3) = 0.1. The probabilities that a fourth event A occurs, given that event S, S, or S, has occurred, are P(A|S) = 0.4 P(A|S2) = 0.2 P(A|S3) = 0.1. If event A is observed, find P(SIA). (Round your answer to four decimal places.) P(SIA)= Need Help? Watch II Master It 4. [-/20 Points] DETAILS MENDSTAT15 4.5.008. MY NOTES PRACTICE ANOTHER City crime records show that 30% of all crimes are violent and 70% are nonviolent, involving theft, forgery, and so on. Eighty percent of violent crimes are reported versus 60% of nonviolent crimes. (a) What is the overall reporting rate for crimes in the city? % (b) If a crime in progress is reported to the police, what is the probability that the crime is violent? (Round your answer to two decimal places.) If a crime in progress is reported to the police, what is the probability that it is nonviolent? (Round your answer to two decimal places.) (c) Refer to part (b). If a crime in progress is reported to the police, why is it more likely that it is a nonviolent crime? Wouldn't violent crimes be more likely to be reported? Can you explain these results? The proportion of nonviolent crimes is larger than the proportion of violent crimes. Therefore, when a crime is reported, it is more likely to be a nonviolent crime. The probability of reporting a violent crime is larger than the probability of reporting a nonviolent crime. Therefore, when a crime is reported, it is actually more likely to be a violent crime. The proportion of nonviolent crimes is larger than the proportion of violent crimes. Therefore, when a crime is reported, it is actually more likely to be a violent crime. The probability of reporting a violent crime is larger than the probability of reporting a nonviolent crime. Therefore, when a crime is reported, it is more likely to be a nonviolent crime