kansberekening Random Variables

[aadkr]

[aadkr]

Example 5.6
A pair of fair dice is tossed.( zie voor de uitleg van dit kansexperiment mijn bericht ( zo 27 nov 2022 21:32)
We optain the finite sample space S consisting of 36 ordered pairs van de getallen 1,2,3,4,5 en6
S={(1,1),(1,2), ,(6,6)}
wordt vervolgd.

[aadkr]

Apair of fair dice is tossed. We obtain the finite equiprobeble space S consisting of the 36 ordered pairs of numbers between 1 and 6.
S={(1,1), (1,2),...................(6,6)}
Let X and Y be the random variables on S in example 5.6. i.e. X assigns the maximum of the numbers and Y the sum of the numbers to each point of S. The joint sidtributionof X and Y follows:
(tekening plaats ik in een nieuw bericht.)

[aadkr]

The above entry h(3,5)=2/36 comes from the fact that (3,2) and (2,3) are the only points in S whose maximum number is 3 and those sum is 5 ; hence
h(3,5)=P(X=3,Y=5)=P{(3,2), (3,3)}=2/36
the other entries are obtained in a similar matter.
(wordt vervolgd)

[aadkr]

Er staateen fout in mijn vorige bericht van ma 12 dec 2022
Moet zijn P{(3,2),(2,3)}=2/36