Beth is waiting for her friends plane to land. the plane will land at time T uniformly distributed in 70 minuetes.
Determine the probability that the Plane will land in 30 minutes?
To determine the probability that the plane will land in 30 minutes, we need to consider the given information: the plane will land at time T uniformly distributed in 70 minutes.
Since the plane will land uniformly distributed in 70 minutes, it means that every minute within that 70-minute interval is equally likely to be the landing time.
To calculate the probability that the plane will land in 30 minutes, we need to calculate the ratio of the favorable outcomes (the minutes within the 30-minute interval) to the total number of possible outcomes (the minutes within the 70-minute interval).
The favorable outcomes in this case are the minutes within the 30-minute interval, which is simply 30 minutes.
The total number of possible outcomes is the number of minutes within the 70-minute interval, which is 70 minutes.
Therefore, the probability that the plane will land in 30 minutes is:
Probability = favorable outcomes / total outcomes
Probability = 30 minutes / 70 minutes
Probability = 3/7
So, the probability that the plane will land in 30 minutes is 3/7.