Usingthesampledataprovidedtoyou,pleasedothefollowing,andmakesuretoprovideexplanationsforeachanswer:

1. For each competition level, complete a double entry table like the one presented below,where each cell represents the joint probability of the two categories considered (i.e. he topleft hand cell represents the joint probability of being qualified for the State championshipandbeinganamateurownerrider):(24points)

1 Competition Level Score Amateur Owner rider 3 Preliminary 60 Yes 4 Elementary 63 Yes 5 Medium 64 No 6 Novice 63 Yes 7 Elementary 66 No 8 Preliminary 73 No 9 Novice 65 Yes 10 Medium 68 No 11 PSG 63 No 12 Preliminary 69 Yes 13 Preliminary 64 Yes 14 Advance 69 No 15 Medium 65 No 16 Advance 66 No 17 Elementary 68 Yes 18 Elementary 59 No 19 Preliminary 70 No 20 Novice 62 Yes 21 PSG 72 No 22 Medium 65 No 23 Elementary 73 No 24 Advance 60 No 25 Preliminary 68 Yes 26 Novice 65 No 27 Elementary 61 No 28 Preliminary 71 No 29 Medium 68 Yes 30 Medium 65 No 31 Preliminary 62 No 32 PSG 75 No 33 Advance 72 Yes 34 PSG 58 No 35 Novice 65 No 36 Novice 70 No 37 Preliminary 79 No 38 Advance 64 No 39 Elementary 68 No 40 Medium 66 No 41 Preliminary 63 Yes 42 Preliminary 72 Yes 43 Preliminary 75 No 44 PSG 77 Yes 45 Novice 68 Yes 46 Medium 70 No 47 Preliminary 65 No 48 Advance 68 No 49 Elementary 70 Yes 50 Medium 71 No 51 Elementary 74 No 52 Preliminary 62 No 53 PSG 80 No 54 Novice 65 No 55 Elementary 62 Yes 56 Preliminary 68 No 57 Novice 66 Yes 58 Medium 62 No 59 Advance 69 No 60 Preliminary 66 No 61 Preliminary 64 No 62