Let Fc denote the compressive strength of concrete (in psi) with the following probabilities:
P(Fc ≤ 2,500) = 0.05
P(Fc > 5,000) = 0.25
1. What is the probability that the strength is less than or equal to 5,000 psi?
2. What is the probability that the strength is greater than 2,500 psi?
3. What P(2,500 < Fc ≤ 5,000)?
4. Which strength level is safe to use in structural design? Please justify your answer.
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