A group of 20 students have been on holiday abroad and are returning to Norway. In thegroup, there are 7 who have bought too much alcohol in the duty-free shop and none of theminforms the customs officers about it. The customs officers randomly select 5 people fromthese 20 students for control. We let the variable X be the number of students among the5 selected who have bought too much alcohol.(a) What type of probability distribution does the variable X have? Write down the formulafor the point probabilities.(b) What is the probability that none of those checked has bought too much?(c) What is the probability that at least 3 of the 5 controlled students have bought toomuch?

Given: A group of 20 students have been on holiday 7 of them brought too much alcohol The customs…

Answered: A group of 20 students have been on…

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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Suppose you model a game of chance with a discrete probability distribution. Let X be the net amount of money or lost by the player. Let pX be the probability of the corresponding outcome. The three events are as follows: There is a 23% chance the player wins 7 dollars. there is a 38% chance the player loses 4 dollars. there is a 39% chance the player breaks even. COMPLETE THE TABLE BELOW TO MODEL THE SCENARIO X PX)
Suppose you are going to draw 20 cards, with replacement, from a deck of 52 cards and record the proportion of draws that are red. There are 26 red and 26 black cards in a typical deck of cards. You draw the 20 cards, replacing each card between draws, and 2/20 cards drawn are red. Are you suspicious about the fairness of this deck of cards? Simply list the answer to your probability calculation and explain your reasoning.
QUESTION 2 a) Based on the past data, 8% of customers will order a dessert with the meal at a noodle's restaurant. 14% of them will order a bottled beverage. i. What is the probability that a customer will order both a dessert and a bottled average? (2 marks) ii. The customers have ordered a dessert with the meal. Calculate the probability that he or she will order a bottled beverage. (2 marks) b) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. A variety of preparatory courses are designed to help applicants improve their GMAT scores, which range from 200 to 800. Suppose that a survey of MBA students reveals that among GMAT scorers at least 650, 72% took a preparatory course; whereas among GMAT scores of less than 650 only 31% took a preparatory course. The probability for an applicant to score at least 650 is 30%. Suppose he was not taking the preparatory course. What is his probability of achieving 650 or more for GMAT score? (5…
. Assume that 75 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 80 percent plan to major in science. Of those without 4 years, only 10 percent plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that this student had four years of high school math?
Q1. It is reported that the percentage of people in a small village that have health insurance is 80%. If 17 people are randomly selected, the find the following (a) The probability that 7 of them have health insurance. (b) The probability that at least 10 have health insurance.
A poll is given, showing 30% are in favor of a new building project. If 10 people are chosen at random, what is the probability that fewer than 7 of them favor the new building project?
Pet owners often have more than one type of pet. A recent survey shows that 70% own a dog, 44% own a cat, and 30% own both a dog and cat. Suppose a person is randomly selected. Determine the probability this person 1. has a dog or a cat or both. 2. does not have a dog nor a cat. 3. only has a dog. 4. Given the person has a dog, what is the probability that this person has a cat?
According to an airline, flights on a certain route are on time 75% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. N=25 P=0.75 (c) Find and interpret the probability that exactly 14 flights are on time. (d) Find and interpret the probability that fewer than 14 flights are on time. (e) Find and interpret the probability that at least 14 flights are on time. (f) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time. (c) The probability that exactly 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about ____ will result in exactly 14 flights being on time. (Round to nearest whole number as needed) (d) The probability that fewer than 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected…

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