00:01
In the given question we are told that we have to assume that 41 tickets are sold for each of the each flight.
00:14
And what we are told is that in this question that is there is an airlines that routinely overbook flights because they expect a certain number of no show.
00:30
So, an airline runs at 5 p .m.
00:35
Commuter flight from washington, d .c.
00:38
To new york city on a plane that holds 38 passengers.
00:43
Let's write this down.
00:45
An airline runs at, runs at 5 p .m.
00:53
5 p .m.
00:56
From washington, from washington.
01:02
Dc to new york and we are told that this plane holds this plane holds 38 passengers.
01:18
38 passengers.
01:22
Now we are told the past experience has shown that if 41 tickets are sold for the the probability distribution for the number of people who actually show up is given as, so this is the probability distribution that if 41 tickets are sold, the probability that 36 people show up is 0 .46, 37 people show up is 0 .30 and so on.
01:55
So this is what we are being given.
01:57
And now we are told that assume that 41 tickets are sold for each flight.
02:03
Flight and first we are asked there are 38 passenger seats on the flight what is the probability that all passengers who show up for this flight will get a seat so what we could write over here is that we can write the probability probability probability that everyone gets a seat everyone gets a seat is what we have to find so we are told to assume that 41 tickets are sold for each flight and there are 38 passenger seats on this flight so what is the probability that if all passengers who show up for this flight will get a seat so we will define a random variable x that gives us the number of people who show up, the number of people, people who actually show up, who actually show up, show up.
03:21
So if we have to find the probability that everyone gets a seed, it means that x is less than or equal to 38, and this would mean that we have to find the probabilities...