1. $IBU(15͕࡞੒ͨ͠
ήʔϜཧ࿦ͷ໰୊Λղ͘

4. ໰୊ɿਓͷϓϨΠϠʔ͕͍ΔήʔϜΛߟ͑·͢ɻ
֤ϓϨΠϠʔ͸ʮ্ʢ6ʣʯɺʮதʢ.ʣʯ·ͨ͸ʮԼʢ%ʣʯΛબ୒Ͱ͖·͢ɻརಘߦྻ͸ҎԼͷ௨ΓͰ͢ɻ
͜ͷήʔϜʹ͓͚Δࠞ߹ઓུφογϡ‫ߧۉ‬Λ‫͍͚ͩͯͭ͘͞ݟ‬ɻ
$IBU(15͕࡞੒ͨ͠རಘද
ʘ 6 . %
6
.
%

5. ղ౴ɿ७ઓུʹ͓͚Δφογϡ‫ߧۉߧۉ‬͸ଘࡏ͠ͳ͍
$IBU(15͕࡞੒ͨ͠རಘද
ʘ 6 . %
6
.
%

6. ϓϨΠϠʔͷબ୒ࢶ.͸ଞͷબ୒ࢶ6 %ʹࢧ഑͞ΕΔ
Ώ͑ʹ ࠞ߹ઓུΛߟ͑ͨͱͯ͠΋ બ୒ࢶ.ʹਖ਼ͷ֬཰Λ༩͑Δࠞ߹ઓུ͸࠷ద൓ԠઓུʹͳΔ͜ͱ͸ͳ͍
$IBU(15͕࡞੒ͨ͠རಘද
ʘ 6 . %
6
.
%
ࢧ഑͞ΕΔઓུ

7. ϓϨΠϠʔͷબ୒ࢶ.Λআ֎ͯ͠ߟ͑Δͱ
ϓϨΠϠʔͷબ୒ࢶ%͕બ୒ࢶ.ʹࢧ഑͞ΕΔ
Ώ͑ʹ ࠞ߹ઓུΛߟ͑ͨͱͯ͠΋ બ୒ࢶ%ʹਖ਼ͷ֬཰Λ༩͑Δࠞ߹ઓུ͸࠷ద൓ԠઓུʹͳΔ͜ͱ͸ͳ͍
$IBU(15͕࡞੒ͨ͠རಘද
ʘ 6 . %
6
.
%
ࢧ഑͞ΕΔઓུ

8. ࢒ͬͨબ୒ࢶؒͰࢧ഑ؔ܎͸ͳ͍ͷͰ ͜ͷ࣌఺Ͱ֬཰ΛׂΓৼͬͯφογϡ‫ߧۉ‬Λ‫ٻ‬ΊΔ
$IBU(15͕࡞੒ͨ͠རಘද
ʘ 6 . %
6
.
%
ࢧ഑͞ΕΔબ୒ࢶΛআ‫ڈ‬
ʘ 6 %
6
.

9. ϓϨΠϠʔͷ‫ظ‬଴རಘ͸
ϓϨΠϠʔͷ‫ظ‬଴རಘ͸
4 ⋅ pq + 0 ⋅ p(1 − q) + 3 ⋅ (1 − p)q + 3 ⋅ (1 − p)(1 − q) = (4q − 3)p + 3
2 ⋅ pq + 3 ⋅ p(1 − q) + 3 ⋅ (1 − p)q + 2 ⋅ (1 − p)(1 − q) = (1 − 2p)q + p + 2
ࢧ഑͞ΕΔબ୒ࢶΛআ‫ڈ‬
ʘ 6 %
6
.
p
1 − p
q 1 − q
q
p
0
1
1
3
4
1
2

10. ϓϨΠϠʔͷ‫ظ‬଴རಘ͸
ϓϨΠϠʔͷ‫ظ‬଴རಘ͸
࠷ద൓Ԡ‫ۂ‬ઢ͸ӈਤͷΑ͏ʹͳΓ
φογϡ‫ߧۉ‬͸ ࡟আ͞Εͨબ୒ࢶʹ͸֬཰ΛৼΔͱͯ͠
4 ⋅ pq + 0 ⋅ p(1 − q) + 3 ⋅ (1 − p)q + 3 ⋅ (1 − p)(1 − q) = (4q − 3)p + 3
2 ⋅ pq + 3 ⋅ p(1 − q) + 3 ⋅ (1 − p)q + 2 ⋅ (1 − p)(1 − q) = (1 − 2p)q + p + 2
((
1
2
,
1
2
, 0
)
,
(
3
4
, 0,
1
4))
q
p
0
1
1
3
4
1
2
φογϡ‫ߧۉ‬
$IBU(15͕࡞੒ͨ͠རಘද
ʘ 6 . %
6
.
%
1
2
3
4
1
2
0
1
4
0

11. ͜ͷղ౴ʹ͓͚ΔϓϨΠϠʔͷ‫ظ‬଴རಘ͸
ϓϨΠϠʔͷઓུΛ ʹมߋ͢Δͱ
ΑΓ ͸࠷దͰ͸ͳ͍
4 ⋅
1
3
⋅
1
3
+ 0 ⋅
1
3
⋅
2
3
+ 1 ⋅
2
3
⋅
1
3
+ 2 ⋅
2
3
⋅
2
3
=
14
9
(0, 1, 0)
3 ⋅ 1 ⋅
1
3
+ 2 ⋅ 1 ⋅ 0 + 3 ⋅ 1 ⋅
2
3
= 3
14
9
(
1
3
, 0,
2
3)
$IBU(15͕࡞੒ͨ͠རಘද
ʘ 6 . %
6
.
%
1
3
1
3
2
3
0
2
3
0
1
0
0

12. $IBU(15͕࡞੒ͨ͠
ήʔϜཧ࿦ͷ໰୊Λղ͘