Calculating probabilities regarding seating on an airline.

Eagle airlines' planes hold only 15 people. Past records indicate that 20% of the people making a reservation do not show up. We will assume that all reservations are independent; that is each reservation is for one person and these reservations are made independent of one another. Suppose that Eagle Air decides to book 18 people for each flight.

1. Determine the Probability that on any given flight, at least on passenger holding a reservation will not have a seat?

2.What is the probability that there will be one or more empty seats for any one flight?

The following shows the process of calculating the probability that seats on an airplane will be available or unavailable. Mean and standard deviation of the variable are provided as well.

If x is normally distrubed with u = 20.0 and o = 4.0, determine the following:
a. P(x > 20.0)
b. P(16.0 < x < 24.0)
c. P(X < 12)
d. P(x = 22.0)
e. P(12.0 , x , 28.0)
f. P(x 15)

When someone buys a ticket for an airline flight, there is a 90% probability that a person will not show up for the flight. Air America books 15 people on a commuter flight that can only seat 13 passengers.
What percent of the time will exactly 13 passengers show on time to be seated on the flight?
What percent of the time

For people with a certain disease, the length of time Y spent in remission is described by the following pdf
f(y) = (1/9)y^2, 0<=y<=3
where Y is measured in years.
What is the probability that a patient's remission lasts longer than 1 year?

An airline has a new airplane that will be fitted out for a combination of first and second class passengers. A first class seat will cost $120 on a certain one-way trip and a second class seat $80. The seating capacity of the plane is 200 second class seats. A first class seat takes 1.2 times the floor area of a second-class se

Two airlines, A and B, are deciding to choose whether Atlanta or Chicago should be their major hub. Given the diagram below, find ALL equilibria of this game. (see attached file)

Markov Processes
5. For a situation with weekly dining at either an Italian or Mexican restaurant,
a. the weekly visit is the trial and the restaurant is the state.
b. the weekly visit is the state and the restaurant is the trial.
c. the weekly visit is

A wheel with the following probabilities is spun:
Prob(1)= 0.50, Prob (2) = 0.20, Prob (3) = 0.30
If the wheel is spun 3 times find probability that the sum of numbers you get = 6

I require assistance in producing an analysis model & design model for the system through use case diagrams and document template as attached. See attached file for full problem description.
Fleet management provides information on and maintenance scheduling facilities for the airline's fleet. The airline flies four differ

The time spent using e-mail per session is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 25 sessions, then:
a. What is the probability that the sample mean is between 7.8 and 8.2 minutes?
b. What is the probability that the sample mean is between 7.5 and 8.2 minutes?
c. If you sel