Uniform distribution
Probability theory · Mathematics
Study notes
Q: A bus arrives uniformly between 0 and 20 minutes. Find P(wait > 15) and the mean wait. f(x) = 1/20 on [0,20]. P(X > 15) = (20-15)/20 = 5/20 = 1/4. E(X) = (0+20)/2 = 10 minutes. Var = 400/12 = 33.33, SD = 5.77 minutes.