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9.2 Exercise 25

Avg difficulty 2.5

Mike and Harry have a basketball shooting contest.

  • Mike shoots 10 ordinary free throws, worth two points each, with probability 0.75 of success on each shot.
  • Harry shoots 12 “three point” shots, with probability 0.40 of success on each shot.

Let X,YX , Y be the number of points scored by Mike and Harry, respectively. Determine P(X≥15)P \left(X \geq 15\right), and P(Y≥15),P(X≥Y)P \left(Y \geq 15\right) , P \left(X \geq Y\right).

Pfeiffer, Applied Probability, 9.2 Problems on Independent Classes of Random Variables, exercise 25

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.