$10$

$10$ points

A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is $0\mathrm{.}04.$ At the checkpoint, the security system denied a person without security problems $1\mathrm{.}5\%$ 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 answer to $3$ decimal places.

$1110$ points

A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is $0\mathrm{.}044.$ At the checkpoint, the security system denied a person without security problems $1\mathrm{.}5\%$ of the time. Also the security system passed a person with security problems $1\%$ of the time. What is the probability that a person who passed through the system is without any security problems? Report answer to $4$ decimal places.

$12$

$10$ points

A new security system needs to be evaluated in the airport. The probability of a persondbeing a security hazard is $0\mathrm{.}03.$ At the checkpoint, the security system denied a person without security problems $1\mathrm{.}5\%$ 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 does not pass through the system and is without any security nroblems? Renort answer to $3$ decimal places.