Pilaf has a circular garden plot with an area of 125 square feet. To fence the area, how many feet of fencing does she need?
1 answer:
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Answer:
(a) The probability that the next burglary in town (if one of the three did it) is the burglary of a residence is 0.4783.
(b) The probability that a burglary of a residence is committed by Becky is 0.3241.
Step-by-step explanation:
Let's denote the events as follows:
<em>A</em> = a burglary was committed by Alex.
<em>B </em>= a burglary was committed by Becky.
<em>C </em>= a burglary was committed by Carl.
<em>R</em> = a burglary is a residence burglary.
<u>Given:</u>
P (A) = 0.55,
P (B) = 0.31,
P (C) = 1 - P (A) - P (B) = 1 - 0.55 - 0.31 = 0.14.
P (R ∩ A) =
P (R ∩ B) =
P (R ∩ C) =
(a)
The total probability formula is:
Compute the burglary of a residence as follows:
Thus, the probability that the next burglary in town (if one of the three did it) is the burglary of a residence is 0.4783.
(b)
Compute the probability that a burglary of a residence is committed by Becky as follows:
Thus, the probability that a burglary of a residence is committed by Becky is 0.3241.