ChloeLiz7111

17.02.2020 • 

Mathematics

Annie and Alivie have agreed to meet between 5-00p.m. and 6-00p.m. for dinner at a local health-food restaurant. Let X =Annie's arrival time and Y = Alvie's arrival time. Suppose X and Y are independent with each uniformly distributed on the interval [5,6].a) What is the joint pdf of X and Y?b) What is the probability that they both arrive between 5-15 and 5-45?c) If the first one to arrive will wait 10 min before leavingto eat elsewhere, what is the probability that they have dinner at the health-food restaurant? (Hint: The event of interest is A = {(x,y): |x - y| <= 1/6}.)

Ответ:

jacksolo

24.10.2021

Mathematics

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To find out what the x value is at this specific point, all you have to do is input the y value into the equation. 

If you do this, it becomes:

-2 = -2x + 4 (y is inputed into the equation)
-2x = -6 (you minus 4 from both sides)
x = 3 (divide both sides by -2)

Hence the missing value is 3, Coordinates are therefore (3, -2) 

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