Homework 5 Answers

BSTA 550

Modified

September 23, 2026

Questions

    1. parameters: \(\sum_{i=1}^m n_i\) and \(p\)
    2. Not given
    3. \[p(1-p)\sum_{i=1}^m n_i\]
    1. Exponential distribution
    2. \(\lambda = 240\)
    3. Not given

  3. 0.252

  4. Not given

  5. \(f_Z(z) = nF_X(z)^{n-1}f_X(z)\)

      1. \(P(X<Y) = 0.099995\)
      1. \(f_Z(z) = \dfrac{11-2z}{5}e^{-2z}\) for \(0 \leq z \leq 5\)

  7. 2 cases: when \(0< z < 1\) and \(1 \leq z \leq 2\)