Airline OverbookingSuppose that past experience shows that about 11% of passengers who are scheduled to take a particular flight fail to show up. Forthis reason, airlines sometimes overbook flights, selling more tickets than they have seats, with the expectation that they will havesome no shows. Suppose an airline uses a small jet with seating for 30 passengers on a regional route and assume that passengers areindependent of each other in whether they show up for the flight. Suppose that the airline consistently sells 32 tickets for every one ofthese flights.(a) On average, how many passengers will be on each flight?Enter the exact answer.ipassengerseTextbook and Media(b) How often will they have enough seats for all of the passengers who show up for the flight?Round your answer to one decimal place.Everyone will have a seat on abouti% of the flights.eTextbook and Media

It is given n=32 and the probability of passengers who are scheduled to take a particular flight…

Answered: Suppose that past experience shows that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A city uses three pumps to carry water from a river to a reservoir. Pumps A and B are new, and have a probability of failing of 0.015 on any day. Pump C is older, and has a probability of failure of 0.08 on any day. Pumps A and B operate Monday-Friday. On Saturday, pumps A and C operate while pump B is serviced. On Sunday, pumps B and C operate while pump A is serviced. Answer the following questions, assuming that the pumps operate independently of one another, and independently from day to day. Determine the probability that pump A works on a day that it is in use. Find the probability that pumps A and B both fail on a day they are both in use. Compute the probability that at least one pump fails on any Sunday. Find the probability that pump A works, and C fails on any Saturday. Determine the probability that no pumps fail in a week.
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 80 stocks traded on the NYSE that day showed that 11 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.02α=0.02.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail…
The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 40% chance it will be good tomorrow, a 30% chance it will be indifferent, and a 30% chance it will be bad. If the weather is indifferent today, there is a 50% chance it will be good tomorrow, and a 20% chance it will be indifferent. Finally, if the weather is bad today, there is a 10% chance it will be good tomorrow and a 30% chance it will be indifferent. a. What is the stochastic matrix, P, for this situation? b. Suppose there is a 10% chance of good weather today and a 90% chance of indifferent weather. What are the chances of bad weather tomorrow? c. Suppose the predicted weather for Monday is 40% indifferent weather and 60% bad weather. What are the chances for good weather on Wednesday? a. Create the stochastic matrix, P, where G is good, I is indifferent, and B is Bad. From: GIB a (Simplify your answers.) To: G
A small ice cream parlor has had great success over the past several years and is interested in expanding into handmade chocolate candies. A poll of 56 randomly selected customers was asked if they would purchase these chocolate candies. Forty of the customers indicated that they would. Customers Stottetomers wto would nan eturer. d. The ice cream parlor needs at least 85% of its customers to purchase handmade chocolate candies to make this expansion profitable. Does it appear as if the expansion into handmade chocolate candies will be profitable? Explain.
In a certain city, with a population of 1,000,000 people, 17 people have been infected with a disease. Five of these people are superspreaders. Superspreaders do not get sick, but will always be infected. Out of the remaining infected people, 50% do not get sick, and do not isolate, but will spread the disease for a week and then will no longer be infected. 35% will self-isolate and get better. The remaining 15% get sick and are admitted to hospital. Within a week, a superspreader will infect 0.1% of the population. A spreader is only infected for a week but will infect 0.01% of the population. Everyone in self-isolation will recover within a week. 50% of people in hospital will die, while the other 50% make a full recovery. a) Following this trend, what happens to the population over time?
Suppose you are the manager of two beachfront hotels : The Palms and Golden Sands. You'd like to know if there is a difference in guest satisfaction between the two hotels. To investigate this, you conduct a survey and ask guests upon departure if they are likely to return to the hotel in the future. For The Palms, 163 out of 227 guests who were surveyed responded " yes ". For Golden Sands, 154 out of 262 guests responded "yes ". Answer the following questions. Round any numbers in your final answers to 2 decimals. 1) Calculate a 95 % confidence interval for the difference in satisfaction rates between The Palms and Golden Sands (Show work) 2) Use the critical value approach to test, at a 1% significance level, whether or not the guest satisfaction rates are different between the two hotels. What do you conclude ? (In your answer, show the steps involved with testing) 3) What is the p-value of your test in part 2?
3 In a genetics experiment on peas, one sample of offspring contained 388 green peas and 540 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of that was expected? The probability of getting a green pea is approximately: (Type an integer or decimal rounded to three decimal places as needed.) Is this probability reasonably close to -? Choose the correct answer below. O A. Yes, it is reasonably close. O B. No, it is not reasonably close.
A market researcher wants to determine whether a new model of a personal computer that had been advertised on a late-night talk show had achieved more brand-name recognition among people who watched the show regularly than among people who did not. After conducting a survey, it was found that 12% of all people both watched the show regularly and could correctly identify the product. Also, 13% of all people regularly watched the show and 39% of all people could correctly identify the product. Define a pair of random variables as shown below. Complete parts (a) through (c). X=1 if regularly watch the show Y=1 if product correctly identified a. Find the joint probability function of X and Y X 0 1 (Do not round.) 0 X=0 otherwise Y=0 otherwise 1 CLLL 2 xdex ram

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