5. On a certain transatlantic route, an airplane charges $2050 for a first class ticket, $1450 for a businessclass ticket and $650 for an economy ticket. Let X₁, X2, X3 represent the respective numbers of firstclass, business class, and economy tickets sold on a randomly chosen flight, and suppose that these discreterandom variables have the following means and standard deviations: #₁ = = 6.8, µ2 = 45.6, µ3 = 421.7,01 =1.6, 02 5.8, and 03 = 52.2. Find(a.) the mean revenue generated by a flight.(b.) Assume that X₁, X2, X3 are independent of each other, find the standard deviation of the revenue.

a) Suppose c1 and X1 are the cost of a ticket in first class flight and the number of passengers in…

Answered: On a certain transatlantic route, an…

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 manufacturing facility has 15 CNC machines on site. The length of a machine job is modeled as an exponential random variable with a mean length of 6.2 hours. If all machines are currently full, and there are 10 jobs waiting to be machined that are ahead of you in line, how many hours will your job be waiting before the machining process begins?
For earthquakes with a magnitude 7.5 or greater on the Richter scale, the time between successive earthquakes has a mean of 456 days and a standard deviation of 356 days. Suppose that you observe a sample of four times between successive earthquakes that have a magnitude of 7.5 or greater on the Richter scale. a. On average, what would you expect to be the mean of the four times? b. How much variation would you expect from your answer in part (a)? (Hint: Use the three-standard-deviations rule.)
A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 20 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 20 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with 8.5, 5.6, 8.8. 6.1. 6.1. 3.3. 8.9, 6.0, 3.3, 9.7, 6.0, 9.3, 2.3, 4.6. 5.5.6.7. 6.6. 4.9. 10.0.6.6 multivitamin 6.5, 5.0, 3.2, 4.7, 3.5, 2.7, 3.8, 4.4, 4.6, 3.6, 4.0, 2.7, 3.2, 4.8, 6.3, 7.5, 6.9, 4.7, 4.8, 1.3 Treated with vitamin C Send data to calculator Send data to Excel Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that the population standard…
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The 5 crew members of the exploration team of the spaceship Enterprise under the command of Captain Kirk are 162, 172, 177, 180 and 184 cm in height, respectively. Calculate the expected value and variance of the height of a randomly selected person among these 5 crew members. ( explaining them to someone who does not know anything about the subject)
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