Mathematics, 22.01.2021 01:00, magics

At Guadalajara airport in Mexico, passengers must claim their luggage and then proceed to customs. In the customs area, each passenger will press a button that activated a modified stoplight. This light has only red and green bulbs. If the green light shows, the passenger is free to go. If the light turns red, then the customs agent will inspect the passenger’s luggage. Customs officials claim that the light has probability of 0.30 of showing red on any press of the button. Find the probability that more than two of the family members in front of you are stopped.

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At Guadalajara airport in Mexico, passengers must claim their luggage and then proceed to customs. I...