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seat is 5. An airli ne passenger who has purchased a ticket may miss his flight

ID: 3053878 • Letter: S

Question

seat is 5. An airli ne passenger who has purchased a ticket may miss his flight for some unknow (no show), that is, binomial distributi w) that is, binomial distribution. The probability of passenger coming to claim 90%. er the following questions based on Cumulative Binomial Probability Distribution Table given Answ Below Airline Sells 325 tickets although it has only 320 seats in the plane. hat reach the gate to catch the What is the probability that it will accommodate all passengers t plane? (5 points) a. b. What is the probability that one or more passengers will be stranded? (5 points) What is the probability that exactly 1 passenger will be stranded? (5 points) c. 325 0.95 Cumulative P(x) 310 311 312 0.6606 0.75 18 0.8296 0.8910 313 314 0.9356 315 316 317 0.9652 0.9830 0.9926 0.9971 318 319 0.9991 3200.9997 321 0.9999 322 1.0000 323 324 325 1.0000 1.0000 1.0000

Explanation / Answer

5. a. Probability that airline will accommodate all passengers = P(x <= 320) = CDF(x = 320) = 0.9997

b. Probability that one or more passengers will be stranded = P(x > 320) = 1 - CDF(x = 320) = 1 - 0.9997

= 0.0003

c. Probability that exactly one passenger will be stranded = P(x = 321) = PDF(x = 321)

= CDF(x = 321) - CDF(x = 320)

= 0.9999 - 0.9997

= 0.0002