+ -/1.5 points My Notes airline believing that 4% of passengers fail to show for
ID: 3056780 • Letter: #
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+ -/1.5 points My Notes airline believing that 4% of passengers fail to show for ghts overbooks sells more ticket an ere are seats su e at ora articular with 267 seats, the airline sells 276 tickets. Question 1. What is the expected number of ticket holders that will fail to show for the flight? (Use 2 decimal place in your answer.) g in 1 nga um o Question 2. What is the probability that the airline will not have enough seats for all the ticket holders who show for the flight? (Use 3 decimal places.) Submit Answer Save Progress -12 points My Notes A lecture hall at NC State has 215 seats with fold-down writing pedestals, 25 of which are designed for left-handers. An Intro. to Economics class with 213 students meets in this lecture hall. Assume that 13% of the general population is left-handed. Question 1. What is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander? (Use 4 decimal places.) Question 2. What is the probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander? (Use 3 decimal places.)Explanation / Answer
Ans:
1)
Probability of show up for flight=1-0.04=0.96
Let x be the number of passengers who show up for flight.
Then,x has binomial distribution with n=276,p=0.96
a)Expected number of passengers who fail to show up for flight=np=276*(1-0.96)=11.04
b)P(flight is overbooked)=P(x>267)=1-P(x<=267)=1-binomcdf(267,276,0.96,true)=0.223
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