EXAMPLE 6Calculating probabilities for multiple values of

Use the probability distribution from Example 5 to find the following probabilities:

  1. Probability that the New York Red Bulls are awarded either 0 or 3 points in a game
  2. Probability that the New York Red Bulls are awarded both 0 and 3 points in a game
  3. Probability that the New York Red Bulls are awarded at least 1 point in a game
  4. Probability that the New York Red Bulls are awarded at most 1 point in a game

Solution

  1. . For a randomly selected game, the probability that the Red Bulls either lose the game or win the game is 0.76.
  2. The outcomes and are mutually exclusive. Therefore, .
  3. The phrase at least means “that many or more.” Thus, we need to find: .
  4. The phrase at most means “that many or fewer.” Thus, .

NOW YOU CAN DO

Exercises 29–44.