1.3

Problem. 1 : Alberta takes a bus to campus every day. During the morning commute, a bus is scheduled to arrive every 17 minutes. If Alberta arrives at the bus stop at a random time for the commute, what is the probability she will have to wait the following amounts of time for a bus? (Round your answers to three decimal places.) (a) At least 6 minutes (b) Between 5 and 13 minutes Problem. 2 z A certain company uses robots on its assembly line. Management has determined that the lengths of time (in hours) between breakdowns are exponentially distributed with probability density function f(t) = 0.001e'\"-\""' (Round your answers to three decimal planes.) (a) Find the probability that a randomly selected robot will break down between 517 and 928 hours of use. (b) Find the probability that a robot will break down after 1287 hours of user Problem. 3 : Find the rst three Taylor polynomials of the function at the indicated numberr L71 :5 5 3 E E H n n n a n