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The owner of a local movie theater keeps track of the number of tickets sold in each purchase. The owner determines the probabilities based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table. A 2-column table with 5 rows. Column 1 is labeled number of tickets with entries 1, 2, 3, 4, 5. Column 2 is labeled Probability with entries 0.17, 0.55, 0.20, 0.06, 0.02. Which of the following correctly represents the probability of a randomly selected purchase having at most three tickets? P(X ≤ 3) P(X < 3) P(X ≥ 3) P(X > 3)

Respuesta :

Considering the given discrete probability distribution, the probability of a randomly selected purchase having at most three tickets is P(X ≤ 3) = 0.92.

What is the discrete probability distribution for this problem?

From the table, the distribution for the number of tickets bought in the purchase is given by:

  • P(X = 1) = 0.17.
  • P(X = 2) = 0.55.
  • P(X = 3) = 0.20.
  • P(X = 4) = 0.06.
  • P(X = 5) = 0.02.

The probability of a randomly selected purchase having at most three tickets is:

P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.55 + 0.20 = 0.92.

More can be learned about discrete probability distributions at https://brainly.com/question/24802582

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