Two boxes are filled with numbered tickets. The distribution of tickets in each

Question

Two boxes are filled with numbered tickets. The distribution of tickets in each box is as follows. Box A 25-20% | 40% | 15% Box B 2 30% | 50% | 20% You draw a ticket randomly from Box A, while a friend draws a ticket randomly from Box B. (a) Let A be the number on your ticket, and let B be the number on your friends ticket. Find the joint distribution of A and B. From the joint distribution, provide the following values. P(2,3H (b) What is the chance that you will draw a bigger number than your friend?

Explanation / Answer

a)P(0,1)=0.25*0.30 =0.075

P(1.3) =0.2*0.2 =0.04

P(2,3) =0.4*0.2 =0.08

b)P(chance that you draw bigger number then your friend)

=P(2,1)+P(3,1)+P(3,2) =0.4*0.3+0.15*0.30+0.15*0.5=0.24

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