ꯁꯦꯝꯄꯜ ꯁꯥꯏꯖ
ꯄꯦꯇꯔꯟ ꯑꯃꯅ ꯑꯔꯊ ꯑꯃꯠꯇꯥ ꯄꯤꯕꯒꯤ ꯃꯃꯥꯡꯗ ꯁ꯭ꯄꯤꯟ ꯀꯌꯥ ꯃꯊꯧ ꯇꯥꯕꯒꯦ꯫

ꯄꯣꯀꯦꯠ ꯑꯃꯅ 37 ꯗꯒꯤ 1 ꯅꯠꯇꯅ 30 ꯗꯒꯤ 1 ꯊꯣꯀꯄꯥ ꯑꯗꯨ ꯆꯨꯝꯅ ꯊꯥꯖꯕ ꯌꯥꯕ ꯃꯑꯣꯡꯗ ꯊꯤꯗꯣꯛꯅꯕꯒꯤꯗꯃꯛ ꯈꯟꯅꯕꯗ ꯁ꯭ꯄꯤꯟ 4,400 ꯃꯊꯧ ꯇꯥꯏ꯫ 35 ꯗꯒꯤ 1 ꯊꯣꯀꯄ ꯄꯣꯀꯦꯠ, ꯇꯁꯦꯡꯅ ꯁꯦꯜ ꯄꯤꯕ ꯌꯥꯕ ꯃꯈꯜ ꯑꯗꯨꯒꯤꯗꯃꯛꯇꯗꯤ ꯁ꯭ꯄꯤꯟ 70,000 ꯈꯟꯅꯕ ꯃꯊꯧ ꯇꯥꯏ꯫
ꯀꯔꯤꯒꯤ ꯃꯁꯤꯡ ꯑꯁꯨꯛ ꯌꯥꯝꯅ ꯃꯊꯧ ꯇꯥꯕꯒꯦ
ꯁꯤꯒ꯭ꯅꯦꯜ ꯑꯗꯨ, ꯁ꯭ꯄꯤꯟ ꯂꯤꯁꯤꯡ ꯈꯨꯗꯤꯡꯗ ꯍꯦꯟꯅꯥ ꯊꯣꯀꯄ ꯈꯔꯥ, √(n·p·(1−p)) ≈ √(n/37) ꯑꯣꯏꯕ ꯕꯥꯏꯅꯣꯃꯤꯌꯦꯜ ꯅꯣꯏꯖꯒꯤ ꯃꯃꯥꯡꯗ ꯌꯥꯝꯅ ꯑꯄꯤꯛꯄꯅꯤ꯫ ꯅꯣꯏꯖ ꯑꯁꯤ 1/√n ꯒꯨꯝꯅ ꯍꯟꯊꯕꯅꯥ, ꯁꯣꯏꯗꯅꯕ ꯃꯁꯤꯡ ꯇꯉꯥꯏ ꯍꯟꯊꯍꯟꯅꯕꯒꯤꯗꯃꯛ ꯁ꯭ꯄꯤꯟ ꯑꯃꯨꯛ ꯃꯔꯤ ꯍꯦꯟꯅꯥ ꯃꯊꯧ ꯇꯥꯏ꯫ 1/30 ꯊꯣꯀꯄ ꯄꯣꯀꯦꯠꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯅ ꯁ꯭ꯄꯤꯟ ꯂꯤꯁꯤꯡ ꯈꯨꯗꯤꯡꯗ 33 ꯊꯣꯀꯏ, ꯐꯪꯒꯗꯕ 27 ꯑꯗꯨꯒꯥ ꯆꯥꯡꯗꯝꯃꯤ: ꯍꯦꯟꯅꯥ ꯊꯣꯀꯄ ꯇꯔꯨꯛ, ꯑꯗꯨꯒꯥ ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟꯃꯦꯊꯃꯦꯇꯤꯛꯁꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟꯚꯦꯌꯔꯤꯌꯦꯟꯁꯀꯤ ꯁ꯭ꯀ꯭ꯋꯦꯌꯔ ꯔꯨꯠ; ꯃꯍꯩ ꯑꯃꯅ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯗꯒꯤ ꯌꯥꯝꯅ ꯂꯥꯞꯄ ꯃꯑꯣꯡ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯃꯉꯥ ꯈꯟꯅꯕꯅꯤ꯫ ꯂꯤꯁꯤꯡ ꯑꯃꯒꯤ ꯁꯦꯝꯄꯜ ꯑꯃꯈꯛꯇꯅ ꯃꯈꯣꯌ ꯑꯅꯤ ꯑꯁꯤ ꯊꯥꯖꯕ ꯌꯥꯕ ꯃꯑꯣꯡꯗ ꯇꯣꯉꯥꯟꯅ ꯈꯪꯍꯟꯕ ꯉꯃꯗꯦ꯫
ꯐꯣꯔꯃꯨꯂꯥ
ꯃꯥꯡꯗꯒꯤ ꯈꯅꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯀꯤ ꯃꯥꯏꯀꯩ ꯑꯃꯈꯛꯀꯤ ꯇꯦꯁ꯭ꯠ, 5% ꯂꯦꯚꯦꯜ ꯑꯃꯁꯨꯡ 80% ꯄꯥꯋꯥꯔꯒꯤꯗꯃꯛ ꯃꯊꯧ ꯇꯥꯕ n ꯑꯁꯤ ꯈꯟꯅꯕꯗ ((1.645·√(p₀(1−p₀)) + 0.84·√(p₁(1−p₁))) / (p₁ − p₀))² ꯅꯤ, p₀ = 1/37 ꯑꯃꯁꯨꯡ p₁ ꯑꯁꯤ ꯆꯤꯡꯅꯕ ꯊꯣꯀꯄꯒꯤ ꯔꯦꯠꯅꯤ꯫ ꯃꯁꯤ ꯃꯥꯡꯗꯒꯤ ꯈꯅꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯀꯤꯗꯃꯛꯇꯅꯤ꯫ ꯄꯣꯀꯦꯠ 37 ꯄꯨꯝꯅꯃꯛꯇ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯁꯥꯠꯄ ꯑꯗꯨ ꯊꯤꯔꯕꯗꯤ, ꯑꯔꯥꯟꯕ ꯄꯣꯖꯤꯇꯤꯚꯀꯤ ꯔꯦꯠ ꯆꯨꯝꯅ ꯊꯝꯅꯕꯒꯤꯗꯃꯛ ꯃꯁꯤꯕꯨ ꯑꯃꯨꯛ ꯑꯅꯤꯗꯒꯤ ꯑꯍꯨꯝ ꯐꯥꯑꯣꯕ ꯃꯜꯇꯤꯞꯂꯥꯏ ꯇꯧꯕꯤꯌꯨ꯫
ꯊꯕꯛꯇ ꯀꯔꯝꯅ ꯄꯥꯕꯒꯦ
ꯁ꯭ꯄꯤꯟ 300 ꯒꯤ ꯃꯇꯨꯡꯗ ꯎꯕ ꯁꯥꯠꯄ ꯃꯁꯤꯡꯑꯔꯥꯟꯕ ꯊꯥꯖꯕꯁꯥꯠꯄ ꯃꯁꯤꯡꯅꯛꯅꯗ ꯊꯥꯖꯈꯤꯕꯗꯒꯤ ꯍꯦꯟꯅꯥ ꯊꯣꯀꯈꯤꯕ ꯃꯁꯤꯡ꯫ ꯆꯨꯝꯃꯤꯟꯅꯕ ꯆꯛꯔꯗ ꯃꯁꯤꯅ ꯀꯔꯤꯒꯨꯝꯕ ꯑꯃꯠꯇ ꯂꯥꯎꯊꯣꯛꯇꯦ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯅꯣꯏꯖꯅꯤ꯫ ꯁ꯭ꯄꯤꯟ 3,000 ꯒꯤ ꯃꯇꯨꯡꯗ ꯃꯁꯤ ꯆꯛꯔ ꯑꯗꯨꯃꯛꯇꯒꯤ ꯁ꯭ꯄꯤꯟ 3,000 ꯍꯦꯟꯅꯥ ꯈꯣꯃꯖꯤꯟꯅꯕꯒꯤ ꯃꯔꯝ ꯑꯃꯅꯤ꯫ ꯁ꯭ꯄꯤꯟ 30,000 ꯒꯤ ꯃꯇꯨꯡꯗ ꯃꯁꯤ ꯍꯛꯆꯥꯡꯒꯤ ꯃꯑꯣꯡꯗ ꯊꯥꯖꯕ ꯃꯊꯧ ꯇꯥꯕ ꯆꯛꯔ ꯑꯃꯥ ꯑꯣꯏꯕ ꯌꯥꯏ꯫ ꯄꯨꯋꯥꯔꯤꯗ ꯏꯔꯝ ꯊꯝꯂꯕ ꯕꯥꯏꯌꯥꯁ ꯁꯤꯖꯤꯟꯅꯕ ꯈꯨꯗꯤꯡꯃꯛ ꯏꯔꯝ ꯊꯝꯂꯕ ꯁ꯭ꯄꯤꯟ ꯂꯤꯁꯤꯡ ꯇꯔꯥ ꯀꯌꯥꯗ ꯌꯨꯝꯐꯝ ꯑꯣꯏꯔꯝꯃꯤ, ꯑꯃꯁꯨꯡ ꯃꯈꯣꯌ ꯈꯨꯗꯤꯡꯃꯛꯇ ꯊꯥ ꯀꯌꯥ ꯆꯪꯂꯝꯃꯤ꯫
ꯗꯦꯇꯥꯒꯤ ꯃꯃꯜ
ꯄꯨꯡ ꯈꯨꯗꯤꯡꯗ ꯁ꯭ꯄꯤꯟ 50 ꯑꯣꯏꯔꯕꯗꯤ, ꯁ꯭ꯄꯤꯟ 10,000 ꯑꯁꯤ ꯏꯔꯝ ꯊꯝꯕꯒꯤ ꯄꯨꯡ 200 ꯅꯤ, ꯅꯠꯠꯔꯒꯥ ꯐꯣꯡꯗꯣꯀꯈꯤꯕ ꯄꯨꯋꯥꯔꯤꯁꯤꯡ ꯀꯣꯄꯤ ꯇꯧꯕꯒꯤ ꯍꯞꯇꯥ ꯀꯌꯥꯅꯤ, ꯃꯁꯤ ꯃꯃꯤꯡ ꯈꯉꯂꯕ ꯍꯨꯏꯜ ꯍꯦꯗꯈꯨꯠꯂꯥꯏꯍꯨꯏꯜ ꯍꯦꯗꯔꯣꯇꯔꯒꯤ ꯃꯃꯤꯡ ꯑꯃꯅꯤ: ꯃꯁꯤꯡꯁꯤꯡ ꯄꯨꯔꯛꯄ ꯀꯣꯏꯕ ꯁꯔꯨꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯈꯛꯇꯒꯤ ꯑꯣꯏꯒꯗꯕꯅꯤ, ꯃꯔꯛꯇ ꯀꯦꯁꯤꯅꯣꯅ ꯃꯗꯨ ꯍꯣꯡꯗꯣꯛꯇꯕ ꯅꯠꯔꯒꯥ ꯐ꯭ꯔꯦꯠ ꯑꯅꯧꯕ ꯊꯝꯗꯕ ꯑꯣꯏꯒꯗꯕꯅꯤ꯫ ꯕꯥꯏꯌꯥꯁ ꯄ꯭ꯂꯦ ꯂꯣꯏꯈꯤꯕꯒꯤ ꯃꯔꯝ ꯑꯁꯤ ꯁ꯭ꯇꯦꯇꯤꯁ꯭ꯇꯤꯛꯁ ꯅꯠꯇꯦ, ꯃꯁꯤꯅꯤ: ꯃꯦꯟꯇꯦꯅꯦꯟꯁꯀꯤ ꯁꯥꯏꯀꯜ ꯑꯁꯤ ꯗꯦꯇꯥ ꯈꯣꯃꯖꯤꯟꯕꯒꯤ ꯁꯥꯏꯀꯜꯗꯒꯤ ꯍꯦꯟꯅꯥ ꯊꯨꯅꯥ ꯂꯣꯏꯏ꯫
ꯍꯥꯎꯁ ꯑꯦꯖ ꯃꯁꯥꯒꯤ ꯁꯦꯝꯄꯜ ꯁꯥꯏꯖ
ꯃꯇꯧ ꯑꯁꯤꯒꯤ ꯍꯤꯁꯥꯕ ꯑꯗꯨꯃꯛꯅ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯃꯁꯥꯒꯤ ꯃꯍꯩꯗ ꯍꯥꯎꯁ ꯑꯦꯖꯃꯦꯊꯃꯦꯇꯤꯛꯁꯍꯥꯎꯁ ꯑꯦꯖꯊꯝꯂꯕ ꯁꯦꯜ ꯈꯨꯗꯤꯡꯗꯒꯤ ꯀꯦꯁꯤꯅꯣꯅ ꯑꯦꯚꯔꯦꯖꯗ ꯊꯃꯖꯤꯜꯂꯤꯕ ꯁꯔꯨꯛ: ꯌꯨꯔꯣꯄꯤꯌꯟ ꯔꯨꯂꯦꯠꯇ 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯎꯕ ꯐꯪꯅꯕ ꯀꯌꯥ ꯁꯥꯡꯅ ꯃꯊꯧ ꯇꯥꯕꯒꯦ ꯍꯥꯌꯔꯤ: ꯁꯤꯒ꯭ꯃꯥ ꯑꯃꯒꯤꯗꯃꯛ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯀꯤ ꯁ꯭ꯄꯤꯟ 1,400 ꯈꯟꯅꯕ, ꯑꯃꯁꯨꯡ ꯑꯦꯖ ꯑꯗꯨ ꯌꯥꯝꯅ ꯃꯌꯦꯛ ꯁꯦꯡꯅ ꯎꯕ ꯐꯪꯅꯕꯒꯤꯗꯃꯛ 10,000꯫ ꯃꯗꯨꯗꯒꯤ ꯍꯟꯊꯕ ꯁ꯭ꯄꯤꯟꯗ ꯁꯤꯁ꯭ꯇꯦꯝ ꯑꯃꯅ ꯊꯕꯛ ꯇꯧꯏ ꯍꯥꯌꯕ ꯀꯅꯥꯒꯨꯝꯕ ꯑꯃꯅ ꯅꯣꯏꯖꯈꯛ ꯔꯤꯄꯣꯔꯠ ꯇꯧꯔꯤ꯫
ꯐꯣꯔꯃꯨꯂꯥ
ꯋꯥꯍꯪꯁꯤꯡ
ꯄꯣꯀꯦꯠꯀꯤ ꯃꯍꯨꯠꯇ ꯁꯦꯛꯇꯔꯁꯤꯡꯆꯛꯔꯁꯦꯛꯇꯔꯆꯛꯔꯗ ꯃꯔꯛ ꯂꯩꯇꯅ ꯃꯈꯥ ꯆꯠꯅꯅ ꯂꯩꯕ ꯄꯣꯀꯦꯠꯁꯤꯡꯒꯤ ꯁꯔꯨꯛ, ꯂꯦꯑꯥꯎꯠꯇ ꯂꯩꯕ ꯀꯥꯡꯂꯨꯞ ꯑꯃꯗꯒꯤ ꯇꯣꯉꯥꯟꯅ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯇꯦꯁ꯭ꯠ ꯇꯧꯕꯅ ꯃꯇꯦꯡ ꯄꯥꯡꯏ, ꯃꯔꯃꯗꯤ ꯍꯛꯆꯥꯡꯒꯤ ꯑꯁꯣꯏ ꯑꯃꯅ ꯃꯍꯧꯁꯥꯅ ꯆꯛꯔꯒꯤ ꯑꯔꯛ ꯑꯃꯗ ꯊꯣꯏꯗꯣꯛꯅ ꯊꯕꯛ ꯇꯧꯏ ꯑꯃꯁꯨꯡ ꯁꯤꯒ꯭ꯅꯦꯜ ꯑꯗꯨ ꯄꯣꯀꯦꯠꯁꯤꯡꯒꯤ ꯃꯔꯛꯇ ꯄꯨꯟꯁꯤꯜꯂꯛꯏ꯫ ꯃꯁꯤꯅ ꯃꯁꯤꯡꯒꯤ ꯆꯥꯡ (ꯑꯣꯔꯗꯔ ꯑꯣꯐ ꯃꯦꯒ꯭ꯅꯤꯆ꯭ꯌꯨꯗ) ꯍꯣꯡꯗꯣꯀꯄ ꯉꯃꯗꯦ꯫
ꯌꯥꯏ, ꯍꯨꯏꯜ ꯍꯦꯗ ꯑꯗꯨ ꯃꯈꯥ ꯆꯠꯊꯕ ꯑꯃꯁꯨꯡ ꯁꯔꯚꯤꯁ ꯇꯧꯗꯕ ꯑꯣꯏꯔꯕꯗꯤ꯫ ꯃꯗꯨ ꯈꯉꯕ ꯑꯁꯤꯅꯤ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯀꯠꯊꯣꯛꯄ꯫
ꯆꯠꯅꯕꯤ ꯑꯣꯏꯅꯥ꯫ ꯃꯁꯤꯒꯤ ꯑꯔꯊꯗꯤ ꯍꯥꯌꯔꯕ ꯆꯥꯡ ꯑꯣꯏꯕ ꯑꯁꯦꯡꯕ ꯕꯥꯏꯌꯥꯁ ꯑꯃꯥ ꯑꯃꯨꯛ ꯃꯉꯥꯗꯒꯤ ꯑꯃꯨꯛ ꯃꯔꯤ ꯊꯤꯗꯣꯛꯀꯅꯤ꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯅꯣꯏꯖ 1/√n ꯒꯨꯝꯅ ꯍꯟꯊꯏ꯫ ꯑꯁꯥꯎꯕ ꯊꯤꯡꯕ ꯉꯝꯕ ꯑꯗꯨꯗꯤ ꯍꯦꯟꯅꯥ ꯊꯨꯅꯥ ꯍꯟꯊꯏ꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Barnhart, R. T. Beating the Wheel.