Step-by-step explanation:
(i) 2x = 5
compare with ax+by+c = 0
→ 2x + 0.y - 5 = 0
» a = 2 ,b = 0 ,c = -5
(ii) y - 2 = 0
compare with ax + by + c = 0
→ 0.x + 1y -2 = 0
» a = 0 , b = 1 , c = -2
(iii) y/7 = 3
y = 3×7
y = 21
y - 21 = 0
compare with ax + by + c = 0
→ 0.x + 1y -21 = 0
» a = 0 , b = 1 , c = -21
(iv). x = -14/13
13x = -14
13x + 14 = 0
compare with ax + by + c = 0
→ 13x + 0.y + 14 = 0
» a = 13 , b = 0 , c = 14
(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82
(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89
(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5
(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07
σ = √(σ²) ≈ 1.03
Answer:
39.7%
Step-by-step explanation:
(actual value - estimated value) / actual value
5.8 - 3.5 = 2.3
2.3 / 5.8 = 0.3965 = 39.65%
