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Enterococcus bacteria are part of the normal intenstinal flora of humans, but some strains can cause...

Enterococcus bacteria are part of the normal intenstinal flora of humans, but some strains can cause disease. in U.S hospitals, 30% of pathogenic isolates are resistant to the antibiotic vancomycin. Assume that seven independent pathogenic isolates have been extracted from paients and tested for resistance. Please answer the following questions.

  1. (a) Find the probability that your sample contains exactly 3 isolates from a resistant human.

  2. (b) Find the probability that the sample contains more than 3 isolates from a resis- tant human.

  3. (c) Find the probability that the sample contains 2 or fewer isolates from a resistant human.

  4. (d) Find the probability that the sample contains 2 or more isolates from a resistant human.

  5. (e) If you know that more than half of the isolates come from a resistant human, what is the probability that exactly 5 come from a resistant human?

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