Question: It is necessary to evaluate a new security system at the airport.The probability that a person is a safety hazard is 0.02.At the checkpoint, the

It is necessary to evaluate a new security system at the airport. The probability that a person is a safety hazard is 0.02. At the checkpoint, the security system denied a person without security problems 1.5% of the time. Also the security system passed a person with security problems 1% of the time.

What is the probability that a random person passes through the system? Report the answer to 3 decimal places.

What is the probability that a person who went through the system will not have any security problems? Report the answer to 4 decimal places.

What is the probability that a random person does not go through the system and does not have any security problems? Report the answer to 3 decimal places.

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