A group of researchers are visiting a national park for a survey on tigers in the region. Prior knowledge of the region has informed the researchers that there is only a 20% chance of sighting a tiger during any exploration in the national park. What is the probability that the first sighting of a tiger happens in the third time that they explore their area of study?
Answers
Answer:
12 % is the answer i guess
Given : A group of researchers are visiting a national park for a survey on tigers in the region.
Prior knowledge of the region has informed the researchers that there is only a 20% chance of sighting a tiger during any exploration in the national park.
To Find : the probability that the first sighting of a tiger happens in the third time that they explore their area of study
Solution:
P ( seeing tiger) = 20 % = 0.2
P ( not seeing tiger ) = 1 - 0.2 = 0.8
first sighting of a tiger happens in the third time
= (0.8)(0.8)(0.2)
= 0.128
= 12.8 %
e probability that the first sighting of a tiger happens in the third time that they explore their area of study = 12.8 %
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