# What is the probability that out of 245 booked reservations that exactly 224 people show up for the flight? What is the probability that no more than 224 people show up? How are these two probabilities different?

##### 1 Answer

#### Explanation:

I suppose given no additional information the probability of a person showing up is 50/50 although I doubt that the probability of missing your flight is that high. In any case we need to find

for this a reasonable distribution is the binomial and we are interested in 224 success out of 245 thus

this is if we are to assume exactly.

Now at at most is equivalent to

in this case we need to consider

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