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Statistics / Fundamentals of Probability, with Stochastic Processes 3 / Chapter 3.3 / Problem 13

Fundamentals of Probability, with Stochastic Processes | 3rd Edition | ISBN: 9780131453401 | Authors: Saeed Ghahramani

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A child gets lost in the Disneyland at the Epcot Center in

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QUESTION:

A child gets lost in the Disneyland at the Epcot Center in Florida. The father of the child believes that the probability of his being lost in the east wing of the center is 0.75 and in the west wing is 0.25. The security department sends an officer to the east and an officer to the west to look for the child. If the probability that a security officer who is looking in the correct wing finds the child is 0.4, find the probability that the child is found.

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QUESTION:

A child gets lost in the Disneyland at the Epcot Center in Florida. The father of the child believes that the probability of his being lost in the east wing of the center is 0.75 and in the west wing is 0.25. The security department sends an officer to the east and an officer to the west to look for the child. If the probability that a security officer who is looking in the correct wing finds the child is 0.4, find the probability that the child is found.

ANSWER:

Step 1 of 2

Given:

A child is lost in Disneyland in Florida.

The probability that the child is lost in the east wing is equal to 0.75.

The probability that the child is lost in the west wing is equal to 0.25.

The probability of finding the child correct is 0.4.

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