Make a function called ntickets(N,gamma,p) that does the following:
- calculates the number of tickets to be sold when the number of seats in the flight is N and the probability of a “show” is p and gamma is the probability a plane will be truly overbooked (more people show than there are seats).
- You will do this in two ways:
- Use solely the appropriate discrete distribution
- Use the normal approximation
- Prints a named list containing nd, nc, N, p and gamma - where nd is calculated using the discrete distribution and nc is the same calculated with normal approximation.
- Creates a plot of Objective function Vs n, the objective function can be constructed from the defining equation by simply making the equation equal zero — example 1-gamma-pnorm(…) = 0. The left-hand side can be called an objective function. Make two of these — one for the discrete and one for the continuous case.