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.

The Dept. of Labor has reported that 30% of the 2.1 million mathematical and computer scientists in the United States are women. If 3 individuals are randomly selected from this occupational group, and x = the number of females, determine P(x = 0), P(x = 1), P(x - 2), and P(x = 3).

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)

The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down, and a .4 probability the price will be unchanged. If the last price was unchanged, there is a .35 probability it will be down and a .35 probabilit

5.74 Refer to the contingency table shown below.
(a) Calculate each probability (i-vi) and explain in words what it means.
i. P(S) ii. P(W) iii. P(S | W)
iv. P(S | B) v. P(S and W) vi. P(N and B)
Smoking by Race for Males Aged 18-24
Smoker

A local bank reported to the federal government that its 5,246 saving accounts have a mean of $1,000 and standard deviation of $240. Government auditors have asked to randomly sample 64 of the bank's accounts to assess the reliability of the mean balance reported by the bank. If the bank information is correct, what is the proba

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers per minute.
Compute the probability of no arrivals in a 1 minute period.
Compute the probability that 3 or fewer passengers arrive in a 1 minute period.
Compute t

1. A medical test for HIV infection has three possible test results: positive ( ), negative ( ),
and inconclusive ( ). Given that a person is infected, the probabilities of these outcomes
are: 0.85, 0.10, and 0.05, respectively. Given that a person is not infected, the probabilities
of these outcomes are:

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

Suppose x is a normally distributed random variable with y=13 and o=2. Find the following probabilities:
1. P (x is greater than or equal to 13.5)
2. P (13.44 is less or equal to x and 18.18 is greater than or equal to x).