British Travel Agency has asked a junior manager to investigate flight delays during the week beforeChristmas at Heathrow Airport. The random variable X is the number of flights delayed per hour. Theresults are shown in the following table.x 0 15234678.p(x) 0.10 0.08 0.07 0.15 0.12 0.08 0.10 0.12 0.08 0.10a) Show that the probability distribution is well defined and derive the cumulative probabilitydistribution.b) Find the probability that there would be three through seven (inclusive) delayed flights per hour?c) Find the mean and variance of flights delayed per hour.

We have given that X is a random variable which represents the number of flights delayed per hour.…

Answered: British Travel Agency has asked a…

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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Similar questions

The following table describes the results of roadworthiness tests of Ford Focus cars that are three years old (based on data from the Department of Transportation). The random variable x represents the number of cars that failed among six that were tested for roadworthiness. Find the probability of getting three or more cars that fail among six cars tested. x P(x ) 0 0.377 1 0.399 2 0.176 3 0.041 4 0.005 5 0 6 0 Question content area bottom Part 1 A. 0.005 B. 0.222 C. 0.048 D. 0.046
Do you tailgate the car in front of you? About 30% of all drivers will tailgate before passing, thinking they can make the car in front of them go faster. Suppose that you are driving a considerable distance on a two-lane highway and are passed by 12 vehicles. (a) Let r be the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution of r for r = 0 through r = 12. (b) Compute the expected number of vehicles out of 12 that will tailgate. vehicles(c) Compute the standard deviation of this distribution. (Round your answer to two decimal places.) vehicles
Do you tailgate the car in front of you? About 45% of all drivers will tailgate before passing, thinking they can make the car in front of them go faster. Suppose that you are driving a considerable distance on a two-lane highway and are passed by 6 vehicles. (a) Let r be the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution of r for r = 0 through r = 6. (b) Compute the expected number of vehicles out of 6 that will tailgate. vehicles(c) Compute the standard deviation of this distribution. (Round your answer to two decimal places.) vehicles
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.1 mg/L with 95% of the data ranging from 6.7 mg/L to 11.5 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. QUESTION: (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? (Round your answer to four decimal places.)
A believer in the "random walk" theory of stock markets thinks the value of an index of stock prices has a 0.6 probability of rising in any year. The change in the value of the index in any given year is not affected by whether it rose or fell in earlier years. You plan to record the value for the index in each of the next eight years. Let the random variable, X, represent the number of years (out of the next 8 years) in which the value of the index rises. a) If X is distributed according to the binomial probability distribution, what are the values for n and p?o b) What are the possible values X can take, or equal? QMETH 201, Homework 3 c) Calculate the probability X = 30 d) Calculate the expected value for X. e) Calculate the standard deviation for X. 4
The proportion of individuals insured by a certain company who received at least one traffic ticket during a five-year period is 0.15. If a sample of 150 individuals insured by the company is taken, approximately what z-score would be used to find the probability that the sample proportion will be less than 0.13? O A. -0.68493 O B. -0.68966 O C. -0.68599 O D. -0.66667 O E. -0.68611
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The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. Hurricanes 123450.00.10.20.30.40.5CategoryProbability0.4070.2870.2260.0680.012 A histogram titled Hurricanes has a horizontal axis labeled Category from 1 to 5 in increments of 1 and a vertical axis labeled Probability from 0 to 0.5 in increments of 0.05. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the category is listed first and the height is listed second: 1, 0.407; 2, 0.287; 3, 0.226; 4, 0.068; 5, 0.012. Each bar is labeled with its height. (a) The mean is nothing. (Type an integer or a decimal. Do not…
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.9 mg/L with 95% of the data ranging from 7.3 mg/L to 12.5 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand.
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