Question

Statistics problem
Let T1,T2 be random times for a company to complete 2 steps in a certain process. Say T1 and T2 are measured in days and they have the joint pdf that is uniform over the space 110)?? Please, help

Answer 1

this is a double integral

Answer 2

\(f_X(x) = \dfrac{1}{10-1}=\dfrac{1}{9}\)
\(f_Y(y)=\dfrac{1}{6-2}=\dfrac{1}{4}\)

Answer 3

But I don't know how to use t1+2t2 < 14

Answer 4

lets first draw the space

Answer 5

but it is wrong, the answer is 1/10. Please, check

Answer 6

@ganeshie8 help me, please

Answer 7

im getting below region with the given inequalities
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Answer 8

vertical : t1
horizontal : t2

Answer 9

You mean the bigger one is the area we need to find?

Answer 10

take the ratio of small to big

Answer 11

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Answer 12

Let me redo it. :)

Answer 13

okike

Answer 14

use desmos maybe
https://www.desmos.com/calculator

Answer 15

I got it. I know what is my mistake, thanks a lot