Of all airline flight requests received by a certain discoun

Of all airline flight requests received by a certain discount ticket broker, 10% are for international travels and 90% are for domestic flights. Let X be the number of international flight requests of the next 20 customers. Assuming independence of successive requests, answer the following questions.

A: What is the distribution of X? Give the name of the distribution and values of the parameters;

B: List all the possible values of X;

C: Compute the probability that P(X ³ 5);

D: Compute the mean and variance of X using formulas in (*) above.

E: Interpret the mean you computed in (4).

F: Compute the probability in (3) using Poisson approximation (ignore the condition np < 5 or nq < 5).

Hint: Binomial distribution

Solution