14. [14 Points] DETAILS MENDSTAT146.E.041. MY NOTES ASK YOUR TEACHER Suppose the random variable x has a binomial distribution corresponding to n : 25 and p : 0.30. Use Table 1 of Appendix I to calculate these probabilities. (Round your answers to three decimal places.) (a) PUMP: (b) MW: 15. [-13 Points] DETAILS MENDSTAT146.E.047.MI. MY NOTES ASK YOUR TEACHER Airlines and hotels often grant reservations in excess of capacity to minimize losses due to noshows. Suppose the records ofa hotel show that, on the average, 10% of their prospective guests will not claim their reservation. If the hotel accepts 284 reservations and there are only 270 rooms in the hotel, what is the probability that all guests who arrive to claim a room will receive one? (Use the normal approximation. Round your answer to four decimal places.) : You may need to use the appropriate appendix table or technology to answer this question. 16. [-l Points] DETAILS MENDSTAT146.E.057. MY NOTES ASK YOUR TEACHER (a) Find a 2 such that P(z > 20) = 0.8?29. (Round your answer to two decimal places.) 0 You may need to use the appropriate appendix table or technotogy to answer this