At Guadalajara Airport, passengers must claim their luggage and then proceed to Customs. In the Customs area, each passenger will press a button that activates 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 Customs agents will inspect the passenger's luggage. Customs officials cliam that the light has probability 0.30 of showing red on any press of the button. You are traveling with 6 family members, and you are the seventh person in line.

Find the probability that exactly one of the family memebers in front of you is stopped.

3 answers

probability of exactly one out of six.
Binomial distribution
P(x=1) = C(6,1) (.3)^1 (.7)^5
.3^1 = .3
.7^5 = .168
C(6,1) = 6!/[ 1! (5!) ] = 6
so 6 * .3 * .168 = .302

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Thanks for da answers