Because not all passengers show up for their reserved seat a

Because not all passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passenger does not show up is 0.10, and the passengers behave independently. What is the probability that the flight departs with empty seats. Is the random variable in the question continuous or discrete?

Solution

The random variable in the question is defined as the number of people show up for their reserved seat.

So this random variable can take values like 0,1,2......120,121,122,123,124,125. It cannot take values like 110.5 as the number of people cannot have a decimal place.

So this random variable is discrete, as number of people can only take discrete values.

Answer: Discrete