Answer to Question #6755 in Statistics and Probability for jean

Question

An airline, 100 seats
For each customer with a ticket: P (absent) = 0.02

a.) If the absence of different passenger are independent events. What is the law of the random variable x = nb of passenger missing a flight.

b.) how do you approach this law? (with steps)

Answer 1

An airline, 100 seats
For each customer with a ticket: P (absent) = 0.02
&
a.) If the absence of different passenger are independent events. What is the law of the random variable x = number of passengers missing a flight?

Let n be a number of missing passengers. Then

P(x=n) = 0.02^n, n=1..100.

b.) how do you approach this law?

Here we used the probability multiplication law.