# Question: Saflok is an electronic door lock system made in Troy

Saflok is an electronic door lock system made in Troy, Michigan, and used in modern hotels and other establishments. To open a door, you must insert the electronic card into the lock slip. Then a green light indicates that you can turn the handle and enter; a yellow light indicates that the door is locked from inside, and you cannot enter. Suppose that 90% of the time when the card is inserted, the door should open because it is not locked from inside. When the door should open, a green light will appear with probability 0.98. When the door should not open, a green light may still appear (an electronic error) 5% of the time. Suppose that you just inserted the card and the light is green. What is the probability that the door will actually open?

## Relevant Questions

A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.95. When an emergency situation does not exist, the alarm system sounds with probability 0.02. A real ...A market research field worker needs to interview married couples about use of a certain product. The researcher arrives at a residential building with three apartments. From the names on the mailboxes downstairs, the ...Ford Motor Company advertises its cars on radio and on television. The company is interested in assessing the probability that a randomly chosen person is exposed to at least one of these two modes of advertising. If we ...The probability that a bank customer will default on a loan is 0.04 if the economy is high and 0.13 if the economy is not high. Suppose the probability that the economy will be high is 0.65. What is the probability that the ...Extend your result from the previous problem to a general case as follows. A random sample of n elements is to be drawn from some population and arranged according to their value, from smallest to largest. What is the ...Post your question