Question

1. A fireworks show is designed so that the time between fireworks is between one and seven seconds, and follows a uniform distribution. (a) Draw a graph of the pdf for this random variable (b) Your friend says that at least 90 percent of the time you will have to wait less than 6 seconds between fireworks. Is she correct? Justify your answer. (c) If you've waited 3 seconds since the last firework, what is the probability that you will see the next firework within the next 2 seconds?

Answer 1

Solution: D xn uniform [17] 1 + (x) +(x)= 7-1 a) 1 6 7 6 b) 6-) I da st Plxc6): 83.31 No She is not correct since probability is less than go %. Plxes p|3cxc5) Plx>3) x > 3 6 5-3 jst de S² S-3 3 6 Plac5 x>3 0.5 - I da do 7-3 6 6 3