A bus arrives every 20 minutes at a bus stop. It is assumed that the waiting time for a particular individual is a random variable with a continuous uniform distribution. (a) What is the probability that the individual waits more than 8 minutes? (b) What is the probability that the individual waits between 5 and 8 minutes? (Simplify your answers.)
Added by Matthew L.
Step 1
- Given: X is uniformly distributed between 0 and 20 minutes. - We need to find P(X > 8). - Using the formula for a continuous uniform distribution: P(a < X < b) = (b - a) / (B - A) - P(X > 8) = P(8 < X < 20) = (20 - 8) / (20 - 0) = 12 / 20 = 0.6 Show more…
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