Please don't provide handwritten solution... ↑For any probability density function, what value is always the total area under the curve?Choose the correct answer below.OA 2OB. 0OC. 1OD. It depends on the specific probability density function.CLLL

For any probability density function, the total area under the curve must always be equal to 1 .…

Answered: Choose the correct answer below. OA 2 О…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The student chapter of Philippine Society of Mechanical Engineers is planning a 6-day trip to the National conference in North of Luzon. For transportation the group will rent a car from either the Motor Pool Corporation or a local car dealer. The Motor Pool charges Php 20.80 per km, has no daily fee, and the motor pool pays for the gas. The car dealer charges Php 1,500 per day and Php 11.2 per km, but the group must pay for the gas. The car's fuel rating is 40 km per gallon, and the price of the gas is estimated to be Php 96 per gallon. a. If the students anticipate driving 1,200 km total, from whom should they rent a car? b.At what point, in km, is the cost of both options equal? c. The car dealer has offered a special student discount and will give the students 50 free km per day, from whom should they rent a car. What is the new breakeven point?
a) Given that y = 2t2 + t – 6 and x = t2 – 3t + 5, i. Find dy in terms of t dx d?y ii. Find in terms of t dx2 b) Find the equation of the normal to the curve y = x2e4x at the point x = 0 c) Find the gradient for the curve defined by y3 + xy = 3 at the point (1,2)
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 70 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 700 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 700 students. Since only 60 parents have volunteered to serve as chaperones, the officers must plan to use at most 60 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and vans to minimize the transportation costs.
A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…
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UUnais, Uid JESSICA pay TO Tem eacII IIOVIE! 2.25 2 Stefanie bought a package of pencils for $1 .75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items, before tax. Exactly how many erasers did Stefanie buy?
what is the right answer?! Please don't provide hand written solution
Allen was involved in an auto accident in which he was at fault. His car sustained damages in the amount of $,327. The other vehicle had damages costing $1,309, in repairs. Allen was not injured, but the driver of the other car required medical treatment costing $22,619 and a passenger's injuries totaled $24,051. Addittional property damage amounted to $3,460. Allen's policy includes 50/100/50 liability, $250 deductible collision and full coverage comprehensive. Determine the amount of damages the insurance company is required to pay?
The Metropolitan Bus Company (MBC) purchases diesel fuel from American PetroleumSupply. In addition to the fuel cost, American Petroleum Supply charges MBC $250 perorder to cover the expenses of delivering and transferring the fuel to MBC’s storage tanks.The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.04 per month, or $0.48 per year; and annualfuel usage is 150,000 gallons. MBC buses operate 300 days a year.a. What is the optimal order quantity for MBC?b. How frequently should MBC order to replenish the gasoline supply?c. The MBC storage tanks have a capacity of 15,000 gallons. Should MBC considerexpanding the capacity of its storage tanks?d. What is the reorder point?
Solve the following word problems.

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Choose the correct answer below. OA 2 О в. о O C. 1 D. It depends on the specific probability density function.