Question Completion Status: QUESTION 1 If there is a replacement of part that wa

Question

Question Completion Status: QUESTION 1 If there is a replacement of part that was selected previously, the probabilities of selecting another par from the same group the second is not affected by what happen in the first outcome so it is an independent event True O False QUESTION 2 If you have two events one is the course of Physics I and the other is Physics ll ourses, the two are conditional events. True False QUESTION 3 2 po In a city the crime record shows that 10% ofallaimes are violent and 90% are not violent 75%of violentcrimes are reported versus 60% of nonviolent crimes are reported. What is the probability that a crime is violent and reported? 0.85 Cliek Save and Submit to sqve and submt. Ciek Save All Anscers to save all anuers Save Al Answers 23 2 8 4 6 8

Explanation / Answer

Q.1) This is True statement that,

If there is a replacement of part that was selected previously, the probabilities of selecting another part fro the same group the second is not affected by what happen in the first outcome so it is an independent event.

Q.2) This is True statement that,

If you have two events one is the course of Physics I and other is Physics II courses, the two are conditional events.

Q.3) Given that,

P(Violent) = 0.10

P(non violent)= 0.90

P(Reported | Violent) = 0.75

P(Reported | nonviolent) = 0.60

To find, P(violent and reported)

P(violent and reported) = P( Reported | violent) * P(violent)

= 0.75 * 0.10

P(violent and reported) = 0.075

Q.4) To find, P( Reported crime)

P(Reported crime) = P(Reported | violent)* P(violent) + P(Reported | nonviolent) * P(nonviolent)

= (0.75 * 0.10) + (0.60 * 0.90)

= 0.075 + 0.54

P(Reported crime) = 0.615

Therefore, the probability of the overall report of the crimes in the city is 0.615

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