A group of fifteen tourists is stranded in a city with four hotels ofthe same class. Each of the hotels has enough room available to accommodatethe fifteen tourists. The group's guide, who has a good working relationshipwith each of the four hotels, assigns the tourists to the hotels as follows. First,he randomly determines how many are to go to hotel A, then how many ofthe remaining tourists are to go to hotel B, and then how many are to go tohotel C. All remaining tourists are sent to hotel D. Note that each stage of theassignment the guide draws at random a number between zero and the numberof tourists left. What is the probability that all four hotels receive guests fromthe group?

Answered: Image /qna-images/answer/dcc19a94-cd78-4328-8324-f7c392cc1eea.jpg

Answered: A group of fifteen tourists is stranded…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four third graders participate, 2 boys and 2 girls. For each child, a marble is drawn without replacement from a bucket containing 2 red marbles and 2 blue marbles. If a red marble is selected, the child gets a pen and if blue, the child gets a pencil. The children are assigned in this order: boy 1, girl 1, boy 2, girl 2. LetX be the number of boys assigned to a pen. Find E (X). Find SD(X). а. b.
A co-rec team to play in an intramural tournament of indoor soccer should consist of three men and three women. There are five men and ten women to join that team. Within the fifteen people there is a husband and wife. In how many ways can that team be selected if it must contain either the wife or the husband but not both?
A restaurant has a large table that seats a party of ten. Each person places an order of a main dish, a side order (except if a vegetarian dish is ordered), and a salad. Forty percent of people order beef, thirty percent order chicken, twenty percent order seafood, and the rest order vegetarian. Choices for a side include a veggie (25%), baked potato (34%), mashed potatoes (20%), or rice (21%). Sixty-five percent of people order the House salad as opposed to the Caesar salad. Each person tips between $1 to $4 (equally likely). Simulate a table of ten with each person’s complete order and tip. Find the total tip left at the table. Replicate this value 300 times and calculate the probability of the waitress making a tip larger than $25. please show excel functions
Each of the four children Dino, Sonny, Nikko, and Xian, holds a different object (fan, car, dart, and slime). From the following clues, determine who owns which object.a. Sonny is older than his friend who owns the car and younger than his friend who owns the dart.b. Nikko and his friend who owns the slime both have the same age. They are the youngest members of them.c. Dino is older than his friend who owns the fan.Explanation is a must for this problem.
If there are four (4) students namely: Sonia, Yumi, Rin, and Eggy. How many different seating arrangements in a bench can be made considering all the students at a time, if Sonia must always be first and Eggy can never be last?
Each of four siblings (Edmond, Gennalyn, Madelyn, and Sonia) bought four different cars. One chooses a Honda, a Mitsubishi, a Toyota, and a Suzuki car. From the following clues, determine which sibling bought which car. 1. Edmond, living alone, stays next door to his sister who bought the Honda car and very far from his sister who bought the Suzuki car. 2. Gennalyn, also living alone, is younger than the one who bought the Mitsubishi car and older than her sibling who bought the Toyota car. 3. Madelyn did not like Toyota and Suzuki cars. But she and her sibling who bought the Toyota car live in the same house.
A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…
A dairy farmer thinks that the average weight gain of his cows depends on two factors: the type of grain that they are fed and the type of grass that they are fed. The dairy farmer has four different types of grain from which to choose and three different types of grass from which to choose. He would like to determine if there is a particular combination of grain and grass that would lead to the greatest weight gain on average for his cows. He randomly selects three one-year-old cows and assigns them to each of the possible combinations of grain and grass. After one year he records the weight gain for each cow (in pounds) with the following results. Is there sufficient evidence to conclude that there is a significant difference in the average weight gains among the cows for the different types of grain? Cow Weight Gain (Pounds) Grass A Grass B Grass B Grain A 359359 327327 232232 277277 250250 163163 191191 304304 216216 Grain B 331331 348348 176176 318318 205205…
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