Explanation Given information: At a certain junior high school, a dental survey is made of the students where two-thirds of the students have at least one tooth cavity. Explanation: A random variable X denotes the number of students who do not have tooth cavity. The failure rate of having at least one tooth cavity is 1 − p = 2 3 ⇒ p = 1 3 . X follows Geometric distribution with parameter p = 1 3 . The probability that the first student to have a cavity is the third student examined, that is, there are 2 students before the first failure appears, which means Pr ( X = 2 ) . Use the formula below of Geometric distribution to find Pr ( X = 2 )

12th Edition

ISBN: 9780137590810

Author: Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar, William Edward Tavernetti

Publisher: PEARSON

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Chapter 12.5, Problem 14E

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The probability that the first student to have a cavity is the third student examined in a junior high school where two – thirds of the students have at least one tooth cavity.

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Chapter 12.5, Problem 13E

Chapter 12.5, Problem 15E

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The probability that the first student to have a cavity is the third student examined in a junior high school where two – thirds of the students have at least one tooth cavity.

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The probability that the first student to have a cavity is the third student examined in a junior high school where two – thirds of the students have at least one tooth cavity.

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