(a) The probability that a vehicle entering the Luray Caverns has Canadian
license plates is 0.12; the probability that it is a camper is 0.28; and the
probability that it is a camper with Canadian license plates is 0.09. What is
the probability that
) A camper entering the Luray Caverns has Canadian license Plates.
(ii) A vehicle with Canadian license plates entering the Luray Caverns is a
camper.
(iii) A vehicle entering the Luray Caverns does not have Canadian plates or
is not a camper.
(b) Sketch the plane representing - 2x2
= -8
(c) Given the points (-4,8) and (6, -12):
(i) Determine the midpoint of the line segment connecting the points.
(ii) Determine the distance separating the two points.
Answers
Given : The probability that a vehicle entering the Luray Caverns has Canadian license plates is 0.12,
the probability that it is a camper is 0.28;
probability that it is a camper with Canadian license plates is 0.09.
To Find : What is the probability that
1) A camper entering the Luray Caverns has Canadian license Plates.
(2) A vehicle with Canadian license plates entering the Luray Caverns is a
camper.
(3) A vehicle entering the Luray Caverns does not have Canadian plates or
is not a camper.
Solution:
probability that
1) A camper entering the Luray Caverns has Canadian license Plates.
= 0.12,
probability that
(3) A vehicle with Canadian license plates entering the Luray Caverns is a
camper.
= camper with Canadian license plates / Canadian license plates
= 0.09/ 0.12
= 9/12
= 3/4
= 0.75
probability that
A vehicle entering the Luray Caverns does not have Canadian plates or
is not a camper. 1 - P ( Canadian plates or camper)
P ( Canadian plates or camper) = 0.12 + 0.28 - 0.09 = 0.31
A vehicle entering the Luray Caverns does not have Canadian plates or
is not a camper. 1 - P ( Canadian plates or camper)
= 1 - 0.31
= 0.69
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Answer:
license plate is 0.12 the probability is 0.28