When leaving a certain subway station a person can exit through anyone of three gates, and any person is equally likely to select each of the three gates. Nowsuppose four people exit the subway station. Use the multinomial distribution to find theprobability that Two people select gate A, one person selects gate B, and one person selectsgate C.

Given When leaving a certain subway station a person can exit through any one of three gates, and…

Answered: When leaving a certain subway station a…

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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A restaurant randomly chooses what to include on its pizza of the day. The meat choices are pepperoni or sausage. The vegetable options are mushrooms, onions, or peppers. The crust options are sesame seed or garlic. Using a tree diagram, determine the probability of a pizza of the day including pepperoni, onions, and garlic crust on a given day? Express your answer as a percentage.
In a bag of marbles, the following represents the distributions: 11 Red, 13 Green, 10 Blue, and 11 Yellow. What is the probability of randomly selecting 3 consecutive marbles and they are all Red? After removing each marble, you replace them.
A bowl contains 24 pieces of fruit, 6 oranges and 18 apples. Two pieces of fruit are randomly selected without replacement. The random variable X = # of apples selected. Determine the probability distribution for the random variable X.
At a local high school, 15% of the students have blue eyes. Each day, 9% of the blue-eyed students wear sunglasses on their way to school, while only 2% of the students with non-blue eyes wear sunglasses. Find the probability that a randomly selected student has blue eyes given that they wore sunglasses on their way to school.
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A drunken pirate stands in the center of a ship's deck. Every second the pirate moves right or left only. Every second the pirate moves to the right with a probability of 0.1 The steps are independent of each other. The edge of the deck is 5 steps away from the pirate. What is the chance that the pirate will fall off the ship after exactly 5 seconds?
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A bag contains 4 Milky Way bars and 5 Snickers bars. Jerod picks a bar at random from the bag and replaces it back in the bag. He mixes the bars in the bag and then picks another bar at random. Construct a probability tree and calculate the probability that Jerod picks two Snickers bars.

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