We appreciate your visit to Construct the sample space diagram from the following situation In a city the crime record shows that 10 of all crimes are violent and 90. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The probability that a crime is violent and reported can be determined by multiplying the probabilities of each event: P(violent) * P(reported | violent).
Step 1: Determine the probabilities of each event.
According to the given information, 10% of all crimes are violent, so the probability of a crime being violent is 0.10 (P(violent) = 0.10). Similarly, 75% of violent crimes are reported, so the probability of a violent crime being reported is 0.75 (P(reported | violent) = 0.75).
Step 2: Multiply the probabilities of each event.
To calculate the probability that a crime is both violent and reported, we multiply the probabilities: P(violent) * P(reported | violent) = 0.10 * 0.75 = 0.075.
Step 3: Interpret the result.
The probability that a crime is violent and reported is 0.075 or 7.5%. This means that out of all the crimes, there is a 7.5% chance that a crime is both violent and reported.
Learn more about Probabilities
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