\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider a random variable \(X\) that follows the binomial distribution with parameters \(n = 100\) and \(p = 0.78\). Using your scientific calculator, calculate the following probabilities. Round your results to three decimal places.
  1. \(P(X < 75)=\)
  2. \(P(X > 79)=\)
  3. \(P(X \geq 74)=\)
  4. \(P(73 < X \leq 81)=\)