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

1. (a) Calculate the probability that at least one of them suffers from arachnophobia.
2. (b) Calculate the probability that exactly 2 of them suffer from arachnophobia.
3. (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