suppose that the probability that a passanger will miss a flight is 0.0963. airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passangers must be “bumped” from the flight. suppose that an airline has a seating capacity of 50 passengers.
A) if 52 tickets are sold, what is the probability that 51 or 52 passengers show up for the flight resulting in an overbooked flight?
B) suppose that 56 tickets are sold. What is the probability that a passenger will have to be bumped?
C) for a plane with seating capacity of 53 passengers, how many tickets may be sold to keep the probability of a passenger being “bumped” below 5%?
In: Statistics and Probability
In any given year, an insurance company believes the following:
-0.6 of drivers are safe.
-0.25 of safe drivers wear seatbelts
-0.10 of unsafe drivers wear seatbelts
-0.10 of safe drivers experience an accident in a year
-0.20 of unsafe drivers experience an accident in a year
-Given a driver experiences an accident, the driver has probability 0.01 they will be taken to the hospital if they were wearing a seatbelt
-Given a driver experiences an accident, the driver has probability 0.2 they will be taken to the hospital if they were not wearing a seatbelt
What is the probability a driver will be taken the hospital this year (as a result of an accident)? Given that a driver wears a seatbelt, what is the probability he/she will be taken to the hospital this year?
In: Statistics and Probability
Evaluate Probability Theory to an Example Involving Hashing and Load Balancing.
In: Statistics and Probability
Q52 What is a probability density function and how is it relevant to the determination of probabilities associated with a continuous random variable? [3 Marks]
DO NOT WRITE THE ANSWER - USE WORD FORMAT.
NO PLAGIARISM ACCEPTED IN THE ANSWER.
In: Statistics and Probability
briefly explain five types of probability sampling in business statistics
In: Statistics and Probability
(a) If X is binomially distributed with 8 trials and a probability of success equal to 1/3 at each attempt, what is the probability of:
1. Exactly 4 success
2. At least 1 success
3. At most 3 successes
(b) Find the variance and standard deviation of X where: X = 2 times the score shown on a dice.
In: Statistics and Probability
(2 pts)The probability that Sue will go to Mexico in the winter and to France in the summer is 0.40. The probability that she will go to Mexico in the winter is 0.60. Find the probability that she will go to France this summer given that she just returned from her winter vacation in Mexico.
(2 pts ) A fair die is tossed. Find the probability P(less than 5|even).
( 2 pts) You have decided to take a vacation. You want to go from Los Angeles to San Francisco and then to Hawaii, and you have all summer for your trip. To get from L.A. to San Francisco you can choose to drive, fly, take a bus, or take the train. From San Francisco to Hawaii you can fly, cruise, or sail. In how many different ways can you travel from Los Angeles to Hawaii?
(2 pts) How many arrangements of the letters in the word SQUARE begin with SQ?
(2 pts) The volleyball team is sponsoring a mixed-doubles sand court volleyball tournament and sixteen pairs have signed up for the chance to win one of the seven trophies and cash prizes. In how many different ways can the teams be chosen and arranged for the top seven slots?
In: Statistics and Probability
a.) In families of 4 offspring, what is the probability of finding the oldest and youngest offspring to both be female?
(As you calculate your response, keep variable rounded at 4 decimal places, provide your answer as a percentage with 2 decimal places, no percentage sign needed(%) i.e., 45.21)
b.) Chestnut, Palomino, and Cremello coat coloring is horses is determined by a partial or incomplete dominant mode of inheritance. Chestnut (CC) and cremello (CCrCCr)
animals have a homozygous genotype, and palomino coat coloring is a result from a heterozygous genotype (CCCr)
Two palomino horses have created 3 offspring. What is the chance
that these 3 offspring result in 1 of each color (1 chestnut, 1
cremello, and 1 palomino) colts?
(As you calculate your response, keep variable rounded at 4
decimal places, provide your answer as a percentage with 2 decimal
places, no percentage sign needed(%)i.e., 45.21)
In: Statistics and Probability
Suppose that the probability that a passenger will miss a flight is 0.0965. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 54 passengers.
(a) If 56 tickets are sold, what is the probability that 55 or 56 passengers show up for the flight resulting in an overbooked flight?
(b) Suppose that 60 tickets are sold. What is the probability that a passenger will have to be "bumped"?
(c) For a plane with seating capacity of 55 passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below
5%?
In: Statistics and Probability
1.) In rolling a pair of dice, what is the probability of a total of 4 or less?
2.) A blue die and a red die are tossed together. Find the probability that the sum is less than 7, given that the blue die shows a 3.
3.) A fair coin is tossed three times. Find the probability of getting at least two tails, given that the first toss is tails.
In: Statistics and Probability