Answer:
Fraction: 5/6
Decimal: 0.83.....
Step-by-step explanation: I may be wrong, but I gave it my best shot!
The vectors
are linearly independent if the ONLY solution to the following equation:
is
A and B are equivalent and C and D are equivalent
Answer:
Answer explained below
Step-by-step explanation:
Alex has in the past committed 55% of the burglaries committed by the three, Becky 31%, and Carl the rest, hence
probability, P(Carl doing a burglary) = 1 - P(Alex or Becky doing a burglary)
= 1 - (0.55 + 0.31)
= 0.14
a) P(next burglary in town is the burglary of a residence) = P(Alex did a burglary of a residence) + P(Becky did a burglary of a residence) + P(Carl did a burglary of residence
= 0.55*1/3 + 0.31*0.5 + 0.14*1
= 0.4783
b)From Bayes' Theorem: P(A | B) = P(A & B) / P(B)
Hence,
P(Becky | a resident reports a home burglary) = P(Becky did a burglary of a residence) / P(burglary of a residence)
= (0.31 * 0.5)/0.4783
= 0.3240
The second one is the right answer for your question
