Sara is a frequent business traveler. For security purposes, 10% of all people boarding airplanes are randomly selected for additional screening just prior to boarding. Define the random variable X = number of flights Sara completes before being chosen for additional screening. For instance, if she is searched boarding her next flight, then X = 0. What is the value of P(X = 2) = probability Sara completes two flights without screening and then is chosen for additional screening on the next one? A) (0.1)² B) (0.9)² C) (0.1)²(0.9) D) (0.9)²(0.1)

Question

Quizplus · Accepted Answer

The probability Sara completes two flights without being selected for additional screening (0.9 for each flight) and then is selected on her next flight (0.1) is calculated as (0.9)^2 * (0.1).

Sara Is a Frequent Business Traveler