An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 40% of all those making reservations do not appear for the trip. Answer the following questions, assuming independence wherever appropriate. (Round your answers to three decimal places.) USE SALT (a) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip? (b) If six reservations are made, what is the expected number of available places when the limousine departs? places (c) Suppose the probability distribution of the number of reservations made is given in the accompanying table. Number of reservations Probability 3 0.09 4 0.25 5 0.34 6 0.32 Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X. Submit Answer X p(x) 0 [2/7 Points] DETAILS MY NOTES 1 DEVORESTAT9 3.5.070.MI. 2 3 4 PREVIOUS ANSWERS ASK YOUR TEACHER An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 40, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects. (a) What is the probability that exactly 10 of these are from the second section? (Round your answer to four decimal places.) 0.2172 (b) What is the probability that at least 10 of these are from the second section? (Round your answer to four decimal places.) 0.4406 (c) What is the probability that at least 10 of these are from the same section? (Round your answer to four decimal places.) (d) What are the mean value and standard deviation of the number among these 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.) mean standard deviation projects projects (e) What are the mean value and standard deviation of the number of projects not among these first 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.) projects mean standard deviation projects