This is a binomial probability problem. Let $ X \sim \text{Binomial}(n = 10, p = 0.3) $.
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- Thus, the probability that fewer than two animations are accepted is:
- \boxed{0.15625}
- Question: A hydrologist is studying rainfall patterns and notes that in a certain region, the probability of rain on any given day in July is 0.3. What is the probability that it rains on exactly 5 out of 10 randomly selected days in July?
- We want $ P(X = 5) $:
- P(X = 5) = \binom{10}{5} (0.3)^5 (0.7)^5
- $ \binom{10}{5} = 252 $
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