You Do It

  1. 33.

    1. Yes. There may be some dependence, but it is small.

    2. We expect 2.5 such transactions. The binomial model concentrates near its mean, so we would expect about a 50% chance for more than two.

    3. ≈ 0.463

  2. 35.

    1. Binomial or Poisson.

    2. Using the Poisson, P(X ≥ 2) ≈ 0.0027.

  3. 37.

    1. ≈ 0.282

    2. ≈ 0.301

  4. 39.

    1. Assume all shots are made with 35% accuracy, independently. These assumptions are plausible.

    2. 7

    3. Yes. The probability is 0.0196.

    4. 14

    5. 17.5

  5. 41.

    1. P(first 4 fail) = 0.94, assuming Bernoulli trials.

    2. The number of trials is not fixed

    3. 1/0.1 = 10

  6. 43.

    1. The subset is too large and violates the 10% condition (5/25 = 0.2).

    2. 25C5 = 53,130

    3. 10C4 = 210, 15C1 = 15

    4. (15)(210)/53130 ≈ 0.059

    5. Larger. The probability of choosing another male gets smaller as men are chosen, ...

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