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A 2005 Gallup Poll found that 7% of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer
A 2005 Gallup Poll found that 7% of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer camp there are 10 teenagers sleeping in each tent. Assume that these 10 teenagers are independent of each other.52
- (a) Calculate the probability that at least one of them suffers from arachnophobia.
- (b) Calculate the probability that exactly 2 of them suffer from arachnophobia.
- (c) Calculate the probability that at most 1 of them suffers from arachnophobia.
(d) If the camp counselor wants to make sure no more than 1 teenager in each tent is afraid of spiders, does it seem reasonable for him to randomly assign teenagers to tents?
- No, there is more than a 15% chance that at least two teenagers in the same tent will be afraid of spiders
- Yes, a 15% chance of at least two being afraid of spiders in the same tent is not that high of a probability
- No, there is almost an 85% chance that at least two teenagers in the same tent will be afraid of spiders
- Yes, an 85% chance of at least two being afraid of spiders in the same tent is not that high of a probability
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