\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
We consider that the waiting time, in minutes, at a mobile phone operator's support hotline is given by a random variable \(X\) that follows a probability density function. Furthermore, the operator guarantees that the waiting time to reach an advisor will not exceed 15 minutes.
  1. Which probability density allows us to model this problem?
  2. Determine the probability that the waiting time is:
    1. less than 3 min,
    2. more than 10 min.

Capture an image of your work. AI teacher feedback takes approximately 10 seconds.