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] +(x) +(x) = 7-1 I 6 a) 6 7 G b) I da 6-1 6-) 6 a PlXc6): 83.3). No She is not correct since probability is less than goy.. Plxes P|3cxc5) Plx>3) x > 3 I da 6 5-3 X 15 3 0.5 X~3 Sada 7-3 6. 3